Saïd Abbas

Articles Publiés en 2021

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1. S. Abbas, M. Benchohra and A. Cabada, Implicit Caputo fractional $q$-difference 

equations with non instantaneous impulses, {\em Bound. Value Probl.}, {\bf 2021}, 2021.

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2.  S. Abbas, M. Benchohra, and J.R. Graef, Upper and Lower solutions for fractional q-difference inclusions, 

{\em Nonlinear Dyn. Syst. Theory},  {\bf 21} (1) (2021), 1-12.

%http://www.e-ndst.kiev.ua/v21n1/1(76)a.pdf

 

 

3.  S. Abbas, M. Benchohra and J. Henderson, Existence and oscillation for coupled fractional $q$-difference systems,

{\em J. Frac. Calc. Appl.}, {\bf 12} (1) (2021), 143-155. ISSN: 2090-5858.

%http://math-frac.oreg/Journals/JFCA/

 

4.  S. Abbas, M. Benchohra and J. Henderson, Coupled Caputo-Fabrizio fractional differential systems in generalized Banach spaces,

{\em Malaya J. Matematik}, {\bf 9} (1) (2021), 20-25.

%https://www.malayajournal.org/articles/MJM09010003.pdf

 

5. S. Abbas, M. Benchohra and J. Henderson, Caputo fractional $q$-difference equations in b-metric spaces,

{\em Commun. Appl. Nonlinear Anal.} {\bf 28} (2) (2021), 1-12.

%http://www.internationalpubls.com

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6.  S. Abbas, M. Benchohra and J. Henderson, Random Caputo-Fabrizio Fractional Differential Inclusions,

{\em AIMS Press.}, {\bf 1} (2) (2021), 102-111.

%http://www.aimspress.com/article/doi/10.3934/mmc.2021008

 

7.  S. Abbas, M. Benchohra, and E. Karap\i nar,

Dynamics and Ulam Stability for Fractional $q$-Difference Inclusions via Picard Operators Theory

{\em An. St. Univ. Ovidius Constanta,},  {\bf .} (2021), 1-1.

 

8. S. Abbas}, M. Benchohra and J,J. Nieto, Caputo-Fabrizio fractional differential equations with instantaneous impulses,

{\em AIMS Mathematics}, {\bf 6} (3) (2021), 2932-2946.

%https://www.aimspress.com/article/doi/10.3934/math.2021177

 

9. S. Abbas, M. Benchohra and J,J. Nieto, Caputo-Fabrizio fractional differential equations with non instantaneous impulses,

{\em AIMS Mathematics}, {\bf 6} (3) (2021), 1-1.

%https://link.springer.com/article/10.1007/s12215-020-00591-6

 

10. S. Abbas}, Mouffak Benchohra and Gaston N'Gu\'er\'ekata, Periodic mild solutions of infinite delay not instantaneous impulsive evolution inclusions,

{\em Vietnam Journal of Mathematics}, {\bf 28} (1) (2021), 283-298.

%http://nonlinearstudies.com/index.php/nonlinear/article/view/2492

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11. S. Abbas}, M. Benchohra, G. M. N'Gu\'er\'ekata and Y. Zhou,

Coupled pettis Hadamard fractional differential systems with retardation and anticipation,

{\em Surveys in Mathematics and its Applications,},  {\bf 16} (2021), 95-109.

%https://www.utgjiu.ro/math/sma/v16/p16_05.pdf

 

12. S. Abbas, M. Benchohra, G. M. N'Gu\'er\'ekata and Y. Zhou,  Periodic mild solutions of infinite delay second order evolution equations with impulses, 

{\em Electronic Journal of Mathematical Analysis and Applications} {\bf 9}(1) Jan. 2021, pp. 179-190.

%http://math-frac.org/Journals/EJMAA/Vol9(1)_Jan_2021/Vol9(1)_Papers/16)%20%20Vol.%209(1)%20Jan.%202021,%20pp.%20179-190..pdf

 

13.  S. Abbas, M. Benchohra and A. Petru\c{c}el, Coupled Hilfer and Hadamard fractional differential systems in generalized

 Banach spaces, {\em Fixed Point Theory}, {\bf .} (2021), ..-...  (to appear).

 

14. S. Abbas}, M. Benchohra, S. Sivasundaram and C. Tunc, 

Existence and oscillatory results  for Caputo-Fabrizio fractional differential equations and inclusions, 

{\em Nonlinear Stud.} {\bf 28} (1) (2021), 283-298.

%http://www.nonlinearstudies.com/index.php/nonlinear/article/view/2492

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15.  S. Krim, S. Abbas, and M. Benchohra, 

Initial Value Problems for Caputo--Fabrizio Implicit Fractional Differential Equations in b-Metric Spaces,

{\em Bulletin of the Transilvania University of Bra\c{s}ov},

{\bf 1}(63) No. 1 - 2021. Series III: Mathematics, Informatics, Physics, 1-13.

%http://webbut.unitbv.ro/Bulletin/Series%20III/Contents_III_1_2021.html

 

16. S. Krim, S. Abbas, and M. Benchohra, Caputo-Hadamard implicit 

fractional differential equations with delay, {\em P\~{a}ulo Journal of Mathematical Sciences}, 

{\bf 15} (1) (2021), 463–484.

%https://link.springer.com/article/10.1007/s40863-021-00226-3?wt_mc=Internal.Event.1.SEM.ArticleAuthorAssignedToIssue&utm_source=ArticleAuthorAssignedToIssue&utm_medium=email&utm_content=AA_en_06082018&ArticleAuthorAssignedToIssue_20210514

 

17. S. Krim, S. Abbas, and M. Benchohra and E. Karap\i nar, 

Terminal value problem for implicit Katugampola fractional differential equations in b-metric spaces,

{\em Journal of Function Spaces} {\bf 2021}, Article ID 5535178, 7 pages.

%https://doi.org/10.1155/2021/5535178

 

18.  F. Si Bachir, S. Abbas, M. Benbachir and M. Benchohra,

Hilfer-Hadamard fractional differential equations; Existence and Attractivity,

{\em Adv. Theory  Nonlinear Analysis  Appl.}, {\bf 5} (1) (2021), 49-57. 

%https://dergipark.org.tr/en/download/article-file/1474756

 

19. F. Si Bachir, S. Abbas, M. Benbachir and M. Benchohra, Successive approximations for random 

coupled Hilfer fractional differential systems, {\em Arab. J. Math.}, (2021), 10:301-310;

%https://link.springer.com/content/pdf/10.1007/s40065-021-00326-0.pdf

 

20. F. Si Bachir, S. Abbas, M. Benbachir and M. Benchohra  and G. N'Gu\'er\'ekata,

Existence and attractivity results for $\psi$-Hilfer hybrid fractional differential equations,

{\em Cubo}, {\bf 23} (1) (2021), 145-159.

%https://www.scielo.cl/pdf/cubo/v23n1/0719-0646-cubo-23-01-145.pdf

 

21.  F. Bekada, S. Abbas, M. Benchohra and J.J. Nieto,

Dynamics and Stability for Katugampola Random Fractional Differential Equations 

{\em AIMS Mathematics,} {\bf 6} (8) (2021), 8654–8666.

%https://www.aimspress.com/article/doi/10.3934/math.2021503

%https://www.aimspress.com/math/article/publish-articles

 

22.  M. Boumaaza, S. Abbas and M. Benchohra, Weak solutions of coupled systems 

of Caputo type modification of the Erd\'elyi-Kober fractional differential inclusions with retarded 

and advanced arguments,{\em Applied Analysis and Optimization,} {\bf 5} (2) (2021), 169–183.

%http://yokohamapublishers.jp/online-p/AAO/vol5/aaov5n2p169.pdf

 

23.  J.E. Lazreg, S. Abbas, M. Benchohra, and E. Karap\i nar,

Impulsive Caputo-Fabrizio Fractional Differential Equations in b-Metric Spaces,

{\em Open Mathematics,} 2021; 19: 363–372.

%https://www.degruyter.com/document/doi/10.1515/math-2021-0040/html^{}

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Articles Publiés en 2020

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1. S. Abbas, M. Benchohra and H. Gorine,  Caputo-Fabrizio fractional differential equations in Fr\'{e}chet spaces {\em Bulletin of the Transilvania University of Bra\c{s}ov}, {\bf 13}(62) No. 2 - 2020. Series III: Mathematics, Informatics, Physics, 373-386.
%http://webbut.unitbv.ro/Bulletin/Series%20III/2020/BULETIN%20I/1.%20Abba,%20Benchohra,%20Gorine.pdf
   
2. S. Abbas, R.P. Agarwal, M. Benchohra, J.E. Lazreg, and B. Ahmad,
Bounded weak solutions for Hilfer fractional differential equations on the half line, {\em Adv. Dyn. Syst. Appl.}, {\bf 15} (1) (2020), 35-49.
%https://www.ripublication.com/adsa20/v15n1p04.pdf    
   
3. S. Abbas, B. Ahmad and M. Benchohra and S. Ntouyas,
Weak solutions for Caputo pettis fractional q-difference inclusions,
{\em Frac. Differ. Calc.}, {\bf 10} (1) (2020), 141-152.
%http://files.ele-math.com/articles/fdc-10-09.pdf    
   
4. S. Abbas, N. Al Arifi, M. Benchohra and J.R. Graef , 
Periodic mild solutions of infinite delay evolution equations with non-instantaneous impulses, 
{\em J. Nonlinear Funct. Anal.}, Vol. 2020 (2020), Article ID 7, pp. 1-11.
%http://jnfa.mathres.org/issues/JNFA20207.pdf

 

5. S. Abbas, N. Al Arifi, M. Benchohra, and J. Henderson,
Coupled Hilfer and Hadamard random fractional differential systems w7. ith finite delay in generalized 
Banach spaces,  {\em Diff. Equ. Appl.},  {\bf12} (4) (2020), 337-353.
%http://files.ele-math.com/articles/dea-12-22.pdf
       
6. S. Abbas, M. Benchohra and M. A. Darwish, Fractional differential inclusions 
of Hilfer type under weak topologies in Banach spaces, {\em Asian-European Journal of Mathematics}, 
Vol. 13, No. 1 (2020) 2050015 (16 pages)
%https://www.worldscientific.com/doi/10.1142/S1793557120500151

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7. S. Abbas, M. Benchohra, and J.R. Graef, Oscillation and nonoscillation 
for Caputo fractional q-difference equations and inclusions, 
{\em Nonlinear Oscillations},  {\bf 23} (2) (2020), 147-161.
%https://www.imath.kiev.ua/~nosc/web/show_article.php?article_id=1308&lang=en

 

8. S. Abbas, M. Benchohra,J. Henderson and B.A. Slimani, Existence and Ulam stabilities 
for partial fractional random differential inclusions with nonconvex right hand side,
{\em Math. Engineering, Science Aerospacemesa} {\bf 11} (1) (2020), 23-35.
%http://nonlinearstudies.com/index.php/mesa/article/view/2047

 

9. B. Alqahtani, S. Abbas, M. Benchohra, S.S. Alzaid,
Fractional q-difference inclusions in Banach spaces, {\em Mathematics}, {\bf 8} 91 (2020), 1-12.
%https://www.mdpi.com/2227-7390/8/1/91/pdf

 

10. S. Abbas, M. Benchohra, S. Bouriah and J. Henderson, 
Existence and uniqueness results for nonlinear implicit fractional systems, 
{\em J. Nonl. Evol. Equ. Appl.}, 2019 {\bf 5} (2020), pp. 81-94 (February 2020)
%http://www.jneea.com/sites/jneea.com/files/JNEEA-vol.2019-no.5.pdf

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11. S. Abbas, M. Benchohra, N. Laledj, and Y. Zhou, 
Fractional ${\it q}-$difference equations on the half line, {\em Archivum Mathematicum} 
{\bf 56} (2020), 207-223.
%https://www.emis.de/journals/AM/20-4/am3185.pdf

 

12. S. Abbas}, M. Benchohra, and G.M. N'Gu\'er\'ekata,
Instantaneous and noninstantaneous impulsive integro-differential equations in Banach spaces, 
{\em Abstract and Applied Analysis}, {\bf 2020}, Article ID 2690125, 8 pages.
%http://downloads.hindawi.com/journals/aaa/2020/2690125.pdf

 

13. F. Bekada, S. Abbas, and M. Benchohra,
Boundary Value Problem for Caputo--Fabrizio Random Fractional Differential Equations, 
{\em Moroccan J. of Pure and Appl. Anal. (MJPAA)}, {\bf 6} (2) (2020), 218-230.
%https://content.sciendo.com/view/journals/mjpaa/6/2/article-p218.xml

 

14. S. Krim, {\bf S. Abbas}, M. Benchohra and M.A. Darwish, Boundary value problem 
for implicit Caputo--Fabrizio  fractional differential equations, 
{\em Int. J. Difference Equ.}ISSN 0973-6069, {\bf 15} (2) (2020), 493-510.
%http://campus.mst.edu/ijde/contents/v15n2p20.pdf

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15. N. Laledj, S. Abbas, M. Benchohra and J. Henderson, Existence theory 
for implicit fractional q-difference equations in Banach spaces, {\em Stud. Univ. Babes-Bolyai Math.} 
{\bf 65} (2020), No. 2, 1-11
%https://www.cs.ubbcluj.ro/~studia-m/index.php/journal/issue/view/29

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Articles Publiés en 2019

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1. S. Abbas, R.P. Agarwal, M. Benchohra and B.A. Slimani, Hilfer and Hadamard coupled Volterra fractional integro-differential systems 

with random effects, {\em Frac. Differ. Calc.}, {\bf 9} (1) (2019), 1-17.

%http://files.ele-math.com/preprints/fdc-09-01.pdf

 

2. S. Abbas, N. Al Arifi, M. Benchohra, J. Graef, Random coupled systems of implicit Caputo-Hadamard fractional differential equations with multi-point boundary conditions in generalized Banach spaces,

{\em Dynamic Systems and Applications}, {\bf 28}(2) (2019), 229-350.

%https://acadsol.eu/dsa/articles/28/2/8.pdf

 

3. S. Abbas, N. Al Arifi, M. Benchohra and G.M. N'Gu\'er\'ekata, Random coupled Caputo--Hadamard fractional differential systems with four-point boundary conditions in generalized Banach spaces, 

{\em Annals Commun. Math.}, {\bf 2}(1) (2019), 1-15.

%http://www.technoskypub.com/wp-content/uploads/2019/09/5-v2-1-snbn-random-coupled-caputo-hadamard-fractional.pdf

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4. S. Abbas, N. Al Arifi, M. Benchohra, Y. Zhou, Random coupled Hilfer and Hadamard fractional differential systems in generalized Banach spaces, {\em Mathematics}, {\bf 7} 285 (2019), 1-15.

%https://www.mdpi.com/2227-7390/7/3/285

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5. S. Abbas, A. Arara and M. Benchohra, Global convergence of successive approximations for abstract semilinear differential equations, 

{\em PanAmer. Math. J.} {\bf 29} (1) (2019), 17-31.    

%http://www.internationalpubls.com/Journals/index.PanAmerican.pdf

 

6. S. Abbas, M. Benchohra F. Berhoun and J. Henderson, Caputo-Hadamard fractional differential Cauchy problem in Fr\'{e}chet spaces,  

{\em Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas}, (2019) 113:2335–2344.

%https://link.springer.com/article/10.1007/s13398-019-00625-4

 

7. S. Abbas, M. Benchohra, S. Bouriah and J. Henderson, Existence and uniqueness results for nonlinear implicit fractional systems, 

{\em Journal of Nonlinear Evolution    Equations and Applications}, {\bf ..} (2019), ..-..

%http://

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8. S. Abbas,  M. Benchohra and H. Gorine, Caputo-Hadamard fractional differential equations with four-point boundary conditions, {\em Commun. Appl. Nonlinear Anal.} {\bf 26} (3) (2019), 68-79.

%http://www.internationalpubls.com

 

9. S. Abbas, M. Benchohra, J.R. Graef and J.E. Lazreg, Implicit Hadamard fractional differential equations with impulses under weak topologies, {\em Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis}, {\bf 26} (2019), 89-112.

%http://online.watsci.org/abstract_pdf/2019v26/v26n2a-pdf/1.pdf

 

10. S. Abbas, M. Benchohra, S.Hamani and J. Henderson, Upper and lower solutions method for Caputo--Hadamard fractional differential inclusions, {\em Mathematica Moravica.}, {\bf 23} (1) (2019), 107-118.

%http://www.moravica.ftn.kg.ac.rs/volumes.html

%http://www.journals.ftn.kg.ac.rs/index.php/moravica/Current

 

11. S. Abbas, M. Benchohra, N. Hamidi and J,J. Nieto, Hilfer and Hadamard fractional differential equations in Fr\'{e}chet spaces, 

{\em J. Pure Appl. Math.}, V.10, N.1, 2019, pp.102-116.

%http://www.twmsj.az/Files/Contents%20V.10,%20N.1,%202019/pp102-116.pdf

%http://www.naturalspublishing.com/ContentTB.asp?JorID=53

 

12. S. Abbas, M. Benchohra A. Heris and J.J. Nieto, Some new existence results for fractional partial random nonlocal differential equations with delay, {\em Frac. Differ. Calc.}, {\bf .} (.) (2019), 1-1.

%https

 

13. S. Abbas, M. Benchohra N. Laledj and Y. Zhou, Existence and ulam stability for implicit fractional q-difference equations,

{\em Adv. Difference Equ.}, {\bf 2019}:480, 12pp.

%https://doi.org/10.1186/s13662-019-2411-y

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14. S. Abbas, M. Benchohra, B. Samet and Y. Zhou, Coupled implicit Caputo fractional q-Difference systems,

{\em Adv. Difference Equ.}, {\bf 2019}:527, 19pp.

%https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-019-2433-5

 

15. S. Abbas, M. Benchohra, Y.Zhou and A. Alsaedi, Hilfer and Hadamard random fractional differential equations in Fr\'{e}chet spaces,

{\em Fixed Point Theory}, {\bf 20} (2) (2019), 391-406. 

%http://www.math.ubbcluj.ro/~nodeacj/volumes/2019-No2/192-abb-ben-zho-als-2006-final_CORECTAT.php

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Articles Publiés en 2018

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1. S. Abbas, R.P. Agarwal, M. Benchohra and N. Benkhettou, Hilfer-Hadamard fractional differential equations and inclusions under weak topologies, Progress in fract. Differ. Appl. 4 (4) (2018), 247-261. URL:http://www.naturalspublishing.com/Article.asp?ArtcID=14217

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2. S. Abbas, R.P. Agarwal, M. Benchohra and F. Berhoune, Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces, Demonstr. Math. 51(2018), 131-140. URL: https://www.degruyter.com/downloadpdf/j/dema.2018.51.issue-1/dema-2018-0009/dema-2018-0009.pdf

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3. S. Abbas, W. Albarakati, M. Benchohra and J.J. Nieto, Existence and global stability results for Volterra type fractional Hadamard partial integral equations, Commun. Math. Anal. 21(1) (2018), 42-53. URL: https://projecteuclid.org/euclid.cma/1530842637  

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4. S. Abbas, A. Arara and M. Benchohra, Partial fractional differential equations with not instantaneous impulses and random effects, Commun. Appl. Nonlinear Anal. 25 (4) (2018), 13-26. URL:http;://www.internationalpubls.com

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5. S. Abbas, A. Arara and M. Benchohra, Successive approximations for abstract semilinear differential equations, Pan American Math. J. 29 (1) (2018), 17-31. URL: http://www.internationalpubls.com/journal/index.PanAmerican.pdf

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6. S. Abbas, A. Arara, M. Benchohra and F. Mesri, Evolution equations in Fréchet spaces, J. Math. Sciences Modelling, 1 (1) (2018), 33-38.  URL: http://dergipark.gov.tr/download/article-file/482681

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7. S. Abbas, A. Arara, M. Benchohra and F. Mesri, Random evolution equations in Fréchet spaces, Adv. Theory Nonlinear Anal. Appl. 2 (3) (2018), 128-137. URL: http://dergipark.gov.tr/atnaa/issue/38520/451341

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8. S. Abbas, M. Benchohra, F. Berhoun and J.J. Nieto, Weak solutions for impulsive implicit Hadamard fractional differential equations,

Adv. Dynamical Syst. Appl., 13 (1) (2018), 1-18. URL: http://campus.mst.edu/adsa/contents/v13n1p1.pdf

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9. S. Abbas, M. Benchohra, S. Bouriah and J.J. Nieto, Periodic solutions for nonlinear fractional differential systems, 

Diff. Equ. Appl.,10 (3) (2018), 299-316. URL: http://files.ele-math.com/articles/dea-10-21.pdf

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10. S. Abbas, M. Benchohra and M. A. Darwish, Some existence results and stability concepts for partial fractional Random integral equations with multiple delay, Random Operators and Stochastic Equations, 26 (1) (2018), 53-63.

URL: https://www.degruyter.com/view/j/rose.2018.26.issue-1/rose-2018-0005/rose-2018-0005.xml?format=INT

 

11. S. Abbas, M. Benchohra and J.R. Graef, Coupled systems of Hilfer fractional differential inclusions in Banach Spaces, Comm. Pure Appl. Analysis,17 (6) (2018), 2479-2493. URL: http://aimsciences.org/article/doi/10.3934/cpaa.2018118

 

12. S. Abbas, M. Benchohra and J.R. Graef, Weak solutions to implicit differential  equations involving the Pilfer fractional derivative, Nonlinear Dynamics Syst. Theory. 18 (1) (2018), 1-11. URL: http://www.e-ndst.kiev.ua/v18n1.htm.URL: http://jnfa.mathres.org/archives/1591

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13.S. Abbas, M. Benchohra and  N. Hamidi, Stability for impulsive fractional differential inclusions via Picard operators in Banach spaces,

J. Nonlinear Funct. Anal.}, Vol. 2018 (2018), Article ID 44, pp. 1-17. URL: http://jnfa.mathres.org/issues/JNFA201844.pdf

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14.S. Abbas, M. Benchohra and  N. Hamidi, Successive approximations for the Darboux problem for implicit partial differential equations, Pan American Math. J. 28 (3) (2018), 1-1o. URL: http://www.internationalpubls.com/journal/index.PanAmerican.pdf  

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15. S. Abbas, M. Benchohra, N. Hamidi and J. Henderson, Caputo-Hadamard fractional differential equations in Banach spaces,  Frac. Calc. Appl. Anal. 21 (4) (2018), 1027-1045.URL: https://www.degruyter.com/view/j/fca.2018.21.issue-4/fca-2018-0056/fca-2018-0056.xml?format=INT

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16. S. Abbas, M. Benchohra, N. Hamidi and G.M. N'Guérékata, Existence and attractivity results for coupled systems of nonlinear Volterra-Stieltjes multi-delay ractional integral equations, Abstract and Applied Analysis, 2018, Article ID 8735614, 10 pages. URL: https://www.hindawi.com/journals/aaa/2018/8735614/

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17. S. Abbas, M. Benchohra, N. Hamidi and Y. Zhou, Implicit coupled Hilfer-Hadamard fractional differential systems under weak topologies, Adv. Difference Equ., 2018:328, 17pp. URL: https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-018-1787-4

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18. S. Abbas, M. Benchohra and J. Henderson, Existence and attractivity results for functional Hilfer fractional differential equations, Nonlinear Oscillations, 21(3)(2018), 295-304. URL:https://www.imath.kiev.ua/~nosc/web/show_article.php?article_id=1189&lang=en

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19. S. Abbas, M. Benchohra, J.E. Lazreg and G.M. N'Guerekata, Coupled systems of Hilfer fractional dierential equations with Maxima, J. Nonlinear Evolution Equ. Appl., 2 (2018), 11-24 (December 2018). URL: http://www.jneea.com/?accepted&id=1802061

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20.S. Abbas, M. Benchohra J.E. Lazreg and J.J. Nieto, On a coupled system of Hilfer and Hilfer-Hadamard fractional differential equations in Banach spaces, J. Nonlinear Funct. Anal., Vol. 2018 (2018), Article ID 39, pp. 1-12, URL: http://jnfa.mathres.org/archives/1591

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21. S. Abbas, M. Benchohra and F. Mesri, Second order functional evolution equations with infinite delay in Fréchet spaces, Commun. Appl. Nonlinear Anal. 5(3)(2018), 1-12. URL: http://www.internationalpubls.com

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22. S. Abbas, M. Benchohra and S. Sivasundaram, Coupled systems of Pettis Hadamard fractional differential equations with retarded and advanced arguments, Journal of Mathematics and Statistics, 2018, 14}(1): 56-63. URL: http://thescipub.com/pdf/10.3844/ofsp.1178

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23. S. Abbas, M. Benchohra and Y. Zhou, Coupled Hilfer fractional differential systems with random effects, 

Adv. Difference Equ. 2018: 369, 12 pp.URL: https://doi.org/10.1186/s13662-018-1832-3 

%https://link.springer.com/epdf/10.1186/s13662-018-1832-3?author_access_token=-dGQd0aLk7fPaOFgGf0YsW_BpE1tBhCbnbw3BuzI2RPpAbuRPen2qeIlAPZotjlmf1OkPBEDaseEi3NVYVK_QS1lPSwts0sqrN49AOevzkj8a3hAteFXc_y6lzfeOTKYzLmCv9jmKn9wjucozDJGuw%3D%3D

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24. S. Abbas, M. Benchohra and Y. Zhou, On a system of Volterra type Hadamard fractional integral equations in Frechet spaces,

Discrete Dyn. Nature Soc., Vol. 2018 (2018), Article ID 1246475, 7 pages. URL: https://www.hindawi.com/journals/ddns/2018/1246475/

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Articles Publiés en 2017

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1. S. Abbas, W. Albarakati and M. Benchohra, Successive approximations for functional evolution equations and inclusions, J. Nonlinear Funct. Anal., Vol. 2017 (2017), Article ID 39, pp. 1-13. URL: http://jnfa.mathres.org/archives/1412

 

2. S. Abbas, W. Albarakati, M. Benchohra and J.J. Nieto, Global convergence of successive approximations for partial Hadamard integral equations and inclusions, Computers Math. Appl., 2017, doi: 10.1016/j.camwa.2016.04.030.

URL: http://www.sciencedirect.com/science/article/pii/S0898122116302115

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3. S. Abbas, W. Albarakati, M. Benchohra and J.J. Nieto, Existence and global stability results for Volterra type fractional Hadamard partial integral equations, Comm. Math. Anal.21 (1) (2018), 42-53. https://projecteuclid.org/euclid.cma/1530842637

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4. S. Abbas, W. Albarakati, M. Benchohra and J. J. Zhou, Weak solutions for partial pettis Hadamard fractional integral equations with random effects, J. Int. Equ. Appl., 29 (4) (2017) 1-19. URL: https://projecteuclid.org/euclid.jiea/1510282932

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5. S. Abbas and M. Benchohra, Stability results for fractional differential equations with State-Dependent delay and not instantaneous impulses, Math. Slovaca, 67(4) (2017) 875-894. URL: https://www.degruyter.com/view/j/ms.2017.67.issue-4/ms-2017-0017/ms-2017-0017.xml?forma

 

6. S. Abbas, M. Benchohra, A. Alsaedi and Y. Zhou, Some stability concepts for abstract fractional differential equations with not instantaneous impulses, Fixed Point Theory, 18 (1) (2017), 3-16. URL: http://www.math.ubbcluj.ro/~nodeacj/volumes/2017-No1/171-abb-be-al-zh-1409-final.php

 

7. S. Abbas, M. Benchohra, A. Alsaedi and Y. Zhou, Stability results for partial fractional differential equations with non-instantaneous impulses, Adv. Difference Equ. 2017: 75, 22 pp, doi: 10.1186/s13662-017-1110-9. URL: https://link.springer.com/content/pdf/10.1186%2Fs13662-017-1110-9.pdf

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8. S. Abbas, M. Benchohra, A. Alsaedi and Y. Zhou, Weak solutions for partial random Hadamard fractional integral equations with multiple delay, Discrete Dyn. Nature Soc., Vol. 2017 (2017), Article ID 8607946, 7 pages. URL: https://www.hindawi.com/journals/ddns/aip/8607946/

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9. S. Abbas, M. Benchohra, A. Alsaedi and Y. Zhou, Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations, Adv. Difference Equ. 2017: 332,11pp, doi: 10.1186/s13662-017-1391-z.

URL: https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-017-1391-z

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10. S. Abbas, M. Benchohra and M. Bohner, Weak solutions for implicit differential equations of Hilfer-Hadamard fractional derivative, Adv. Dynamical Syst. Appl., 12 (1) (2017), 1-16. URL: http://campus.mst.edu/adsa/contents/v12n1p1.pdf

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11. S. Abbas, M. Benchohra and M. A. Darwish, Some existence and stability results for abstract fractional differential inclusions with not Instantaneous impulses, Mathematical Reports, 19 (69), 2 (2017), 245-262. URL: http://imar.ro/journals/Mathematical_Reports/Pdfs/2017/2/8.pdf

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12. S. Abbas, M. Benchohra and M. A. Darwish, Asymptotic stability for implicit differential equations involving Hilfer fractional derivative, Pan American Math. J. 27 (3) (2017), 40-52. URL: http://www.internationalpubls.com/Journals/index.PanAmerican.pdf

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13. S. Abbas, M. Benchohra and M. A. Darwish, Fractional differential inclusions of Hilfer and Hadamard types in Banach spaces, Discussiones Math. Diff. Incl. Contr. Opt., 37 (2) (2017), 1-18. URL: http://www.discuss.wmie.uz.zgora.pl/di/

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14. S. Abbas, M. Benchohra and J.R. Graef, Weak solutions to implicit differential equations involving the Hilfer fractional derivative, Nonlinear Dynamics Syst. Theory, 17 (4) (2017), 1-12. URL: http://www.e-ndst.kiev.ua

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15. S. Abbas, M. Benchohra and N. Hamidi, Hilfer and Hilfer-Hadamard fractional differential equations with random effects,

{Libertas Mathematica, 37 (1) (2017), 45-64. URL: http://www.ara-as.org/index.php/lm-ns/article/view/1378/1322

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16. S. Abbas, M. Benchohra and J. Henderson, Partial Hadamard-Stieltjes fractional integral equations in Banach spaces, Manuscript for a chapter in the Banas, et al. Springer book, Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness, Chapter 9, (2017), 375-391. URL: https://www.springerprofessional.de/en/partial-hadamard-stieltjes-fractional-integral-equations-in-bana/12246322

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17. S. Abbas, M. Benchohra, J. Henderson and J.E. Lazreg, Measure of noncompactness and impulsive Hadamard fractional implicit differential equations in Banach spaces, Math. Eng. Science Aerospace 8 (3) (2017), 1-19.

URL: http://nonlinearstudies.com/index.php/mesa/article/view/1567

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18. S. Abbas, M. Benchohra, J.E. Lazreg, A. Alsaedi and Y.Zhou, Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type, Adv. Difference Equ. 2017, 14 pages doi 10.1186/s13662-017-1231-1.

URL: https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-017-1231-1

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19. S. Abbas, M. Benchohra, J.E. Lazreg and G.M. N'Guerekata, Weak solutions for implicit Pettis-Hadamard fractional differential equations with retarded and advanced arguments, Nonlinear Stud. 24 (2) (2017), 355-365. URL: http://nonlinearstudies.com/index.php/nonlinear/article/view/1528

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20. S. Abbas, M. Benchohra, J.E. Lazreg and Y.Zhou, A Survey on Hadamard and Hilfer fractional differential equations: Analysis and Stability, Chaos, Solitons Fractals, 102 (2017) 47-71. URL: http://www.sciencedirect.com/science/article/pii/S0960077917300632

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21. S. Abbas, M. Benchohra and A. Petrucel, Ulam stability for Hilfer type fractional differential inclusions via the weakly Picard operator theory, Frac. Calc. Appl. Anal. 20 (2) (2017), 384-398. URL: https://www.degruyter.com/view/j/fca.2017.20.issue-2/fca-2017-0020/fca-2017-0020.xml?format=INT

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22. S. Abbas, M. Benchohra and Y. Zhou, Global convergence of successive approximations for partial fractional differential equations and inclusions, Progr. Fract. Differ. Appl. 3 (2) (2017), 81-92. URL: http://naturalspublishing.com/files/published/2833xbttuz2a55.pdf

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23. S. Abbas, M. Benchohra and M. A. Darwish, Fractional differential inclusions of Hilfer and Hadamard types in Banach spaces, Discussiones Math. Diff. Incl. Contr. Opt., 37 (2) (2017), 187-204. URL: http://www.discuss.wmie.uz.zgora.pl/di/index.php

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24. S. Abbas, M. Benchohra, J.E. Lazreg and G.M. N'Guerekata, Hilfer and Hadamard functional random fractional differential inclusions, CUBO, Math. J. 19 (1) (2017), 17-38. URL: https://scielo.conicyt.cl/pdf/cubo/v19n1/art02.pdf

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Articles Publiés en 2016

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1. S. Abbas, W. Albarakati and M. Benchohra, Existence and attractivity results for Volterra type nonlinear multi-delay Hadamard-Stieltjes fractional integral equations, Pan American Math. J. 26 (1) (2016), 1-17. URL: http://www.internationalpubls.com/Journals/index.PanAmerican.pdf

 

2. S. Abbas, W. A. Albarakati, M. Benchohra and J. Henderson, Existence and Ulam stabilities for Hadamard fractional integral equations with random effects, Electron. J. Differ. Equ. 2016 (2016), No. 25, pp 1-12. URL: http://ejde.math.txstate.edu/Volumes/2016/25/abbas.pdf

 

3. S. Abbas, W. Albarakati, M. Benchohra and G. M. N'Guerekata, Existence and Ulam stabilities for Hadamard fractional integral equations in Fréchet spaces, J. Frac. Calc. Appl. 7 (2) (2016), 1-12.

URL:  http://fcag-egypt.com/journals/jfca/Vol7(2)_Papers/01_JFCA_Vol7(2)_July_2016_pp_1-12.pdf

 

4. S. Abbas, W.A. Albarakati, M. Benchohra and A. Petrucel, Existence and Ulam Stability Results for Hadamard Partial Fractional Integral Inclusions via Picard Operators, Stud. Univ. Babes-Bolyai Math., 61 (4) (2016), 409-420. URL: http://www.cs.ubbcluj.ro/~studia-m/index.php/journal/article/view/34/pdf

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5. S. Abbas, W. A. Albarakati, M. Benchohra and S. Sivasundaram, On the solutions of Pettis partial Hadamard-Stieltjes fractional integral equations, Nonlinear Stud. 23 (2) (2016), 333-344. URL: http://nonlinearstudies.com/index.php/nonlinear/article/view/1345

 

6. S. Abbas, W. Albarakati, M. Benchohra and J. J. Trujillo, Ulam stabilities for partial Hadamard fractional integral equations, Arab. J. Math., 5 (1) (2016) 1-7. URL: http://link.springer.com/content/pdf/10.1007%2Fs40065-015-0142-9.pdf

 

7. S. Abbas, M. Benchohra and M. A. Darwish, Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses, Discus. Math. Diff. Incl., Contr. Optim. 36 (2) (2016), 155-179.

URL: http://www.discuss.wmie.uz.zgora.pl/php/discuss3.php?ip=&url=pdf&nIdA=25146&nIdSesji=-1

 

8. S. Abbas, M. Benchohra and M. A. Darwish, Some new existence results and stability concepts for fractional partial random differential equations, J. Math. Appl. 39 (2016),5-22.

URL: http://jma.prz.edu.pl/fcp/HGBUKOQtTKlQhbx08SlkTUQJQX2o8DAoHNiwFE1xVTW9PFRYqCl5tDXdVGnoV/26/sdudek%40prz.edu.pl/jma-spis_tresci/jma39_abbas.pdf

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9. S. Abbas, M. Benchohra and J. Henderson, Weak solutions for implicit fractional differential equations of Hadamard type, Adv. Dynamical Syst. Appl., 11 (1) (2016), 1-13. URL: http://campus.mst.edu/adsa/contents/v11n1p1.pdf

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10. S. Abbas, M. Benchohra, J. Henderson and B. A. Slimani, Existence and attractivity for the Darboux problem of fractional order neutral differential equations, J. Appl. Math. Comput., 52 (1) (2016), 73-85. URL: http://link.springer.com/article/10.1007/s12190-015-0930-6

 

11. S. Abbas, M. Benchohra and S. Sivasundaram, Dynamics and Ulam stability for Hilfer type fractional differential equations, Nonlinear Stud. 23 (4) (2016), 627-637. URL: http://nonlinearstudies.com/index.php/nonlinear/article/view/1413

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Articles Publiés en 2015

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1. S. Abbas, E. Alaidarous, W. Albarakati and M. Benchohra, Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions, Discus. Math. Diff. Incl., Contr. Optim. 35 (2015), 105-122. URL: http://www.discuss.wmie.uz.zgora.pl/php/discuss3.php?ip=&url=pdf&nIdA=24796&nIdSesji=-1

 

2. S. Abbas, W. A. Albarakati, M. Benchohra, M. A. Darwish and E. M. Hilal, New existence and stability results for partial fractional differential inclusions with multiple delay, Ann. Polon. Math., 114 (2015), 81-100. URL: https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/annales-polonici-mathematici/all/114/1/85392/new-existence-and-stability-results-for-partial-fractional-differential-inclusions-with-multiple-delay

 

3. S. Abbas, W. A. Albarakati, M. Benchohra and E. M. Hilal, Global existence and stability results for partial fractional random differential equations, J. Appl. Anal., 21 (2 (2015), 79-87. URL: https://www.degruyter.com/view/j/jaa.2015.21.issue-2/jaa-2015-0008/jaa-2015-0008.xml

 

4. S. Abbas, E. Alaidarous, M. Benchohra and J.J. Nieto, Existence and stability of solutions for Hadamard-Stieltjes fractional integral equations, Discrete Dyn. Nature Soc., Vol. 2015 (2015), Article ID 317094, 6 pages. URL: https://www.hindawi.com/journals/ddns/2015/317094/

 

5. S. Abbas, W.A. Albarakati, M. Benchohra and S. Sivasundaram, Dynamics and stability of Fredholm type fractional order Hadamard integral equations, Nonlinear Stud. 22 (4) (2015), 673-686. URL: http://nonlinearstudies.com/index.php/nonlinear/article/view/1253

 

6. S. Abbas and M. Benchohra, Some stability concepts for Darboux problem for partial fractional differential equations on unbounded domain, Fixed Point Theory, 16 (1) (2015), 3-14. URL: http://www.math.ubbcluj.ro/~nodeacj/vol__16(2015)_no_1.php

 

7. S. Abbas and M. Benchohra, Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses, Applied Math. Computation, 257 (2015), 190-198. URL: http://www.sciencedirect.com/science/article/pii/S0096300314009175

 

8. S. Abbas and M. Benchohra, Existence and Ulam stability for impulsive discontinuous fractional differential inclusions in Banach Algebras, Mediterranean J. Math., 12 (4), (2015) 1 November 2015, 1245-1264. URL: http://link.springer.com/article/10.1007/s00009-014-0473-3

 

9. S. Abbas and M. Benchohra, Existence and Ulam stability results for quadratic integral equations, Libertas Math., 35 (2)(2015), 83-93. URL: http://system.lm-ns.org/index.php/lm-ns/article/view/1302

 

10. S. Abbas, M. Benchohra and M.A. Darwish, New stability results for partial fractional differential inclusions with not instantaneous impulses, Frac. Calc. Appl. Anal. 18 (1) (2015), 172-191. URL: https://www.degruyter.com/view/j/fca.2015.18.issue-1/fca-2015-0012/fca-2015-0012.xml

 

11. S. Abbas, M. Benchohra and J. Henderson, Partial Hadamard fractional integral equations, Adv. Dynamical Syst. Appl., 10 (2) (2015), 97-107. URL: http://campus.mst.edu/adsa/contents/v10n2p1.pdf

 

12. S. Abbas, M. Benchohra and B.A. Slimani, Existence and Ulam stabilities for partial fractional random differential inclusions with nonconvex right hand side, Pan American Math. J. 25 (1) (2015), 95-110. URL: http://www.internationalpubls.com/Journals/index.PanAmerican.pdf

 

13. S. Abbas, M. Benchohra and B. A. Slimani, Partial hyperbolic implicit differential equations with variable times impulses, Stud. Univ. Babes-Bolyai Math., 60 (1) (2015), 61-73. URL: http://www.cs.ubbcluj.ro/~studia-m/2015-1/2015_1/06-Abbas-Benchohra-final.pdf

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14. S. Abbas, M. Benchohra, B.A. Slimani and J. J. Trujillo, Asymptotic behavior of fractional order Riemann-Liouville Volterra-Stieltjes integral equations, J. Int. Equ. Applications 27 (3) (2015), 1-13. URL: http://projecteuclid.org/euclid.jiea/1450388937

 

15. S. Abbas, M. Benchohra and J. J. Trujillo, Upper and lower solutions method for partial fractional differential inclusions with not instantaneous impulses, Prog. Frac. Diff. Appl., 1 (1) (2015), 11-22. URL: http://www.naturalspublishing.com/files/published/zz4892n759cts9.pdf

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Articles Publiés en 2014

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1. S. Abbas and M. Benchohra, Fractional order integral equations of two independent variables, Applied Math. Computation, 227 (2014), 755-761. URL: http://www.sciencedirect.com/science/article/pii/S0096300313011533

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2. S. Abbas and M. Benchohra, Ulam-Hyers stability for the Darboux problem for partial fractional differential and Integro-differential equations via Picard operators, Results. Math. Online First, 65 (1-2) (2014), 67-79. URL: http://link.springer.com/article/10.1007/s00025-013-0330-x

 

3. S. Abbas and M. Benchohra, On the generalized Ulam-Hyers-Rassias stability for Darboux problem for partial fractional implicit differential equations, Appl. Math. E-Notes, 14 (2014), 20-28. URL: http://www.math.nthu.edu.tw/~amen/2014/131113(final).pdf

 

4. S. Abbas and M. Benchohra, Ulam stability for impulsive discontinuous partial fractional differential equations in Banach Algebras, J. Nonlinear Evolution Equ. Appl., 1 (2014), 1-12. URL: http://www.jneea.com/sites/jneea.com/files/JNEEA-vol.2014-no.1.pdf

 

5. S. Abbas and M. Benchohra, Existence of solutions to fractional-order impulsive hyperbolic partial differential inclusions, Electron. J. Differ. Equ. 2014 (2014), No. 196, pp 1-13. URL: http://ejde.math.txstate.edu/Volumes/2014/196/abbas.pdf

 

6. S. Abbas and M. Benchohra, Ulam stabilities for the Darboux problem for partial fractional differential inclusions, Demonstratio Math. XLVII (4) (2014), 826-838. URL: http://demmath.mini.pw.edu.pl/archive/dm47_4/5.pdf

 

7. S. Abbas, M. Benchohra and A. Hammoudi, Upper, lower solutions method and extremal solutions for impulsive discontinuous partial fractional differential inclusions, Pan American Math. J. 24 (1) (2014), 31-52. URL: http://www.internationalpubls.com/Journals/index.PanAmerican.pdf

 

8. S. Abbas, M. Benchohra and J. Henderson, Ulam stability for partial fractional integral inclusions via Picard operators, J. Frac. Calc. Appl., 5 (2) July 2014, 133-144. URL: http://fcag-egypt.com/journals/jfca/Vol5(2)_Papers/16_Vol.%205(2)%20July.%202014,%20No.%2016,%20pp.%20133-144..pdf

 

9. S. Abbas, M. Benchohra and J.J. Nieto, Ulam stabilities for impulsive partial fractional differential equations, Acta Univ. Palacki. Olomuc. 53 (1) (2014), 5-17. URL: http://dml.cz/bitstream/handle/10338.dmlcz/143910/ActaOlom_53-2014-1_1.pdf

 

10. S. Abbas, M. Benchohra and A. Petrucel, Ulam stabilities for the Darboux problem for partial fractional differential inclusions via Picard Operators, Electron. J. Qual. Theory Differ. Equ., 51 (2014), 1-13. URL: http://www.math.u-szeged.hu/ejqtde/p3149.pdf

 

11. S. Abbas, M. Benchohra, M. Rivero and J. J. Trujillo, Existence and stability results for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes quadratic integral equations, Applied Math. Computation, 247 (2014), 319-328.

URL: http://www.sciencedirect.com/science/article/pii/S0096300314012417

 

Articles Publiés en 2013

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1. S. Abbas and M. Benchohra, Nonlinear fractional order Riemann-Liouville Volterra- Stieltjes partial integral equations on unbounded domains, Commun. Math. Anal. 14 (1) (2013), 104-117. URL: http://math-res-pub.org/cma/14/1/nonlinear-fractional-order-riemman-liouville-volterra-stieltjes-partial-integral-equations

 

2. S. Abbas and M. Benchohra, Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay, Opuscula Math., 33 (2) (2013), 209-222. URL: http://www.opuscula.agh.edu.pl/vol33/2/art/opuscula_math_3313.pdf

 

3. S. Abbas and M. Benchohra, On the set of solutions of fractional order Riemann- Liouville integral inclusions, Demonstratio Math., XLVI (2) (2013), 271-281. URL: http://demmath.mini.pw.edu.pl/archive/dm46_2/5.pdf

 

4. S. Abbas and M. Benchohra, Existence and attractivity for fractional order integral equations in Frechet spaces, Discussiones Math. Diff. Incl. Contr. Opt., 33 (1) (2013), 1-17. URL: http://www.discuss.wmie.uz.zgora.pl/php/discuss3.php?ip=&url=pdf&nIdA=24375&nIdSesji=-1

 

5. S. Abbas and M. Benchohra, Existence and stability for partial functional integro-differential equations of fractional order with multiple time delay, Non-linear Stud., 20 (2) (2013), 147-161. URL: http://nonlinearstudies.com/index.php/nonlinear/article/view/853

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6. S. Abbas and M. Benchohra, Global asymptotic stability for nonlinear multidelay differential equations of fractional order, Proc. A. Ramadze Math. Institute., 161 (2013), 1-13. URL: http://rmi.tsu.ge/proceedings/volumes/pdf/v161-1.pdf

 

7. S. Abbas and M. Benchohra, Existence and stability of nonlinear fractional order Riemann-Liouville- Volterra-Stieltjes multi-delay integral equations, J. Integral Equ. Appl., 25 (2) Summer 2013. URL: http://projecteuclid.org/euclid.jiea/1383573820

 

8. S. Abbas and M. Benchohra, On the set of solutions for the Darboux problem for fractional order partial hyperbolic functional differential inclusions, Fixed Point Theory, 14 (2) (2013), 253-262. URL: http://www.math.ubbcluj.ro/~nodeacj/vol__14(2013)_no__2.php

 

9. S. Abbas and M. Benchohra, Uniqueness results for Fredholm type fractional order Riemann-Liouville integral equations, Fasciculi Mathematici, 51 (2013), 5-19. URL: http://www.math.put.poznan.pl/artykuly/FM51(2013)-AbbasS-BenchohraM.pdf

 

10. S. Abbas and M. Benchohra, Qualitative theory for fractional order Riemann-Liouville integral equations in two independent variables, Tamsui Oxford J. Inf. Math. Sci. 29 (2) (2013), 239-255. URL: http://cm00.epage.au.edu.tw/ezfiles/7/1007/img/2388/29(2)8-6(239-255).pdf

 

11. S. Abbas, M. Benchohra and T. Diagana, Existence and attractivity results for some fractional order partial integro-differential equations with delay, Afr. Diaspora J. Math., 15 (2) (2013), 87-100. URL: http://projecteuclid.org/euclid.adjm/1388953704

 

12. S. Abbas, M. Benchohra and J. Henderson, Asymptotic attractive nonlinear fractional order Riemann-Liouville integral equations in Banach algebras, Non- linear Stud., 20 (1) (2013), 1-10. URL: http://nonlinearstudies.com/index.php/nonlinear/article/view/730

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13. S. Abbas, M. Benchohra and J.J. Nieto, Functional implicit hyperbolic fractional order differential equations with delay, Afr. Diaspora J. Math., 15 (1) (2013), 74-96. URL: http://projecteuclid.org/euclid.adjm/1376053760

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14. S. Abbas, M. Benchohra and S. Sivasundaram, Ulam stability for partial fractional differential inclusions with multiple delay and impulses via Picard operators, Nonlinear Stud. 20 (4) (2013), 623-641. URL: http://nonlinearstudies.com/index.php/nonlinear/article/view/935

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Articles Publiés en 2012

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1. S. Abbas, D. Baleanu and M. Benchohra, Global attractivity for fractional order delay partial integro-differential equations, Adv. Difference Equ. 2012, 19 pages doi:10.1186/1687-1847-2012-62. 

URL: https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-62

 

2. S. Abbas and M. Benchohra, On the existence and local asymptotic stability of solutions of fractional order integral equations, Commentationes Mathematicae, 52 (1) (2012), 91-100. URL: http://www.staff.amu.edu.pl/~commath/papers/521/5218.pdf

 

3. S. Abbas and M. Benchohra, Nonlinear quadratic Volterra Riemann-Liouville integral equations of fractional order, Nonlinear Anal. Forum, 17 (2012), 107-115. URL: http://prof.ks.ac.kr/bslee/naf/table/vol-1700/NAF1711.pdf

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4. S. Abbas and M. Benchohra, Impulsive partial functional integro-differential equations of fractional order, Comm. Appl. Analysis, 16 (2) (2012), 249-260. URL: http://www.acadsol.eu/caa/contents

 

5. S. Abbas and M. Benchohra, Existence and stability for fractional order integral equations with multiple time delay in Frechet spaces, Malaya J. Matematik, 1 (1) (2012), 42-49. URL: http://www.malayajournal.org/articles/MJM006.pdf

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6. S. Abbas and M. Benchohra, Fractional order Riemann-Liouville integral equations with multiple time delay, Appl. Math. E-Notes, 12 (2012), 79-87. URL: http://www.math.nthu.edu.tw/~amen/2012/111112-4.pdf

 

7. S. Abbas and M. Benchohra, Fractional order partial hyperbolic differential equations involving Caputo's derivative, Stud. Univ. Babes-Bolyai Math., 57 (4) (2012), 469-479. URL: http://www.cs.ubbcluj.ro/~studia-m/2012-4/02-abbas-final.pdf

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8. S. Abbas and M. Benchohra, Upper and lower solutions method for Darboux problem for fractional order implicit impulsive partial hyperbolic differential equations, Acta Univ. Palacki. Olomuc., 51 (2) (2012), 5-18. URL: http://kma.upol.cz/data/xinha/ULOZISTE/ActaMath/2012/51-2-1.pdf

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9. S. Abbas and M. Benchohra, A global uniqueness result for fractional order implicit differential equations, Comment. Math. Univ. Carolin., 53 (4) (2012), 605-614. URL: http://www.kurims.kyoto-u.ac.jp/EMIS/journals/CMUC/pdf/cmuc1204/abbasben.pdf

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10. S. Abbas and M. Benchohra, Global stability results for nonlinear partial fractional order Riemann-Liouville Volterra-Stieltjes functional integral equations, Math. Science Research J., 16 (4) (2012), 82-92.

URL:https://www.researchgate.net/publication/266939939_Global_stability_results_for_nonlinear_partial_fractional_order_Riemann-Liouville_Volterra-Stieltjes_functional_integral_equations

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11. S. Abbas, M. Benchohra and A. Cabada, Partial neutral functional integrodifferential equations of fractional order with delay, Boundary Value Problems, 2012, 2012:128 doi:10.1186/1687-2770-2012-128. URL: https://boundaryvalueproblems.springeropen.com/articles/10.1186/1687-2770-2012-128

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12. S. Abbas, M. Benchohra and J.R. Graef, Integro-differential equations of fractional order, Differ. Equ. Dyn. Syst. 20 (2) (2012), 139-148. URL: http://link.springer.com/article/10.1007/s12591-012-0110-1

 

13. S. Abbas, M. Benchohra and J. Henderson, Global asymptotic stability of solutions of nonlinear quadratic Volterra integral equations of fractional order, Commun. Appl. Nonlinear Anal. 19 (1) (2012), 79-89. URL: http://www.internationalpubls.com

 

14. S. Abbas, M. Benchohra and J. Henderson, Asymptotic behavior of solutions of nonlinear fractional order Riemann-Liouville Volterra-Stieltjes quadratic integral equations, Int. E. J. Pure and Aplied Math. 4 (3) (2012), 195-209.

URL: http://www.e.ijpam.eu/contents/articles/201200403009.pdf

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15. S. Abbas, M. Benchohra and G.M. N'Guerekata, Asymptotic stability in nonlinear delay differential equations of fractional order, J. Nonlinear Evolution Equ. Appl., 7 (2012), 85-96. URL: http://www.jneea.com/sites/jneea.com/files/JNEEA-vol.2012-no.7.pdf

 

16. S. Abbas, M. Benchohra, G.M. N'Guerekata and B.A. Slimani, Darboux problem for fractional order discontinuous hyperbolic partial differential equations in Banach algebras, Complex Variables and Elliptic Equations, 57 (2-4) (2012), 337-350.

URL: http://www.tandfonline.com/doi/full/10.1080/17476933.2011.555542

 

17. S. Abbas, M. Benchohra and J.J. Nieto, Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations, Electron. J. Qual. Theory Differ. Equ., 81 (2012), 1-15. URL: http://www.math.u-szeged.hu/ejqtde/p1737.pdf

 

18. S. Abbas, M. Benchohra and A. N. Vityuk, On fractional order derivatives and Darboux problem for implicit differential equations, Frac. Calc. Appl. Anal. 15 (2) (2012), 168-182. URL: https://www.degruyter.com/view/j/fca.2012.15.issue-2/s13540-012-0012-5/s13540-012-0012-5.xml

 

19. S. Abbas, M. Benchohra and J.J. Trujillo, Fractional order impulsive hyperbolic implicit differential equations with state-dependent delay, Dedicated to the memory of A. Kilbas (2012), 31-42. URL: https://www.degruyter.com/downloadpdf/j/fca.2012.15.issue-3/s13540-012-0025-0/s13540-012-0025-0.xml

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Articles Publiés en 2011

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1. S. Abbas and M. Benchohra, Existence theory for impulsive partial hyperbolic differential equations of fractional order at variable times, Fixed Point Theory, 12 (1) (2011), 3-16. URL: http://www.math.ubbcluj.ro/~nodeacj/vol__12(2011)_no_1.php

 

2. S. Abbas and M. Benchohra, Upper and lower solutions method for partial hyperbolic functional differential equations with Caputo's fractional derivative, Libertas Math. 31 (2011), 103-110. URL: http://system.lm-ns.org/index.php/lm/article/viewFile/597/469

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3. S. Abbas and M. Benchohra, Darboux problem for implicit impulsive partial hyperbolic differential equations, Electron. J. Differ. Equ. 2011 (2011), No. 150, pp 1-15. URL: http://ejde.math.txstate.edu/Volumes/2011/150/abbas.pdf

 

4. S. Abbas, M. Benchohra and L. Gorniewicz, Fractional order impulsive partial hyperbolic differential inclusions with variable times, Discussiones Math. Diff. Inclu. Contr. Opt. 31 (1) (2011), 91-114.

URL: http://www.discuss.wmie.uz.zgora.pl/php/discuss3.php?ip=&url=pdf&nIdA=22578&nIdSesji=-1

 

5. S. Abbas, M. Benchohra and J.J. Nieto, Global uniqueness results for fractional order partial hyperbolic functional differentialequations, Adv. Difference Equ. 2011, Art. ID 379876, 25 pp, doi: 10.1155/2011/379876.

URL: https://advancesindifferenceequations.springeropen.com/articles/10.1155/2011/379876

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6. S. Abbas, M. Benchohra and Y. Zhou, Fractional order partial hyperbolic functional differential equations with state-dependent delay, Int. J. Dynamical Systems Differential Equations, 3 (4)(2011), 459-490. URL: http://www.inderscience.com/info/inarticle.php?artid=42941

 

Articles Publiés en 2010

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1. S. Abbas, R.P. Agarwal and M. Benchohra, Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay, Nonlinear Anal. Hybrid Syst. 4 (2010), 818-829.

URL: http://www.sciencedirect.com/science/article/pii/S1751570X10000506

 

2. S. Abbas, R.P. Agarwal and M. Benchohra, Impulsive discontinuous partial hyperbolic differential equations of fractional order on Banach Algebras, Electron. J. Differ. Equ. 2010 (2010), No. 91, pp 1-17. URL: http://ejde.math.txstate.edu/Volumes/2010/91/abbas.pdf

 

3. S. Abbas and M. Benchohra, Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order, Nonlinear Anal. Hybrid Syst. 4 (2010), 406-413. URL: http://www.sciencedirect.com/science/article/pii/S1751570X09001216

 

4. S. Abbas and M. Benchohra, The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses, Discussiones Math. Diff. Incl. Contr. Opt. 30 (1) (2010), 141-161. URL: http://www.discuss.wmie.uz.zgora.pl/php/discuss3.php?ip=&url=pdf&nIdA=20897&nIdSesji=-1

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5. S. Abbas and M. Benchohra, Impulsive partial hyperbolic differential inclusions of fractional order, Demonstratio Math. XLIII (4) (2010), 775-797. URL: http://demmath.mini.pw.edu.pl/archive/dm43_4/5.pdf

 

6. S. Abbas and M. Benchohra, Darboux problem for partial functional differential equations with infinite delay and Caputo's fractional derivative, Adv. Dynamical Syst. Appl. 5 (1) (2010), 1-19. URL: http://campus.mst.edu/adsa/contents/v5n1p1.pdf

 

7. S. Abbas and M. Benchohra, Impulsive partial hyperbolic functional differential equations of fractional order with state-dependent delay, Frac. Calc. Appl. Anal. 13 (3) (2010), 225-244. URL: http://www.diogenes.bg/fcaa/volume13/fcaa133/Abbas_Benchohra_FCAA_133.pdf

 

8. S. Abbas and M. Benchohra, Upper and lower solutions method for the Darboux problem for fractional order partial differential inclusions, Int. J. Modern Math. 5 (3) (2010), 327-338. URL: http://www.ams.org/mathscinet-getitem?mr=2779058

 

9. S. Abbas, M. Benchohra and L. Gorniewicz, Existence theory for impulsive partial hyperbolic functional differential equations involving the Caputo fractional derivative, Sci. Math. Jpn. online e- 2010, 271-282. URL: http://www.jams.or.jp/scm/contents/e-2010-3/2010-29.pdf

 

10. S. Abbas, M. Benchohra and L. Gorniewicz, Fractional order impulsive partial hyperbolic functional differential equations with variable times and state dependent delay, Math. Bulletin 7 (2010), 317-350. URL: http://journals.iapmm.lviv.ua/ojs/index.php/MBSSS/article/view/164/157

 

11. S. Abbas, M. Benchohra and Y. Zhou, Fractional order partial functional differential inclusions with infinite delay, Proc. A. Razmadze Math. Inst. 154 (2010), 1-19. URL: http://rmi.tsu.ge/proceedings/volumes/pdf/v154-1.pdf

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Articles Publiés en 2009

 

1. S. Abbas and M. Benchohra, Darboux problem for perturbed partial differential equations of fractional order with finite delay,Nonlinear Anal. Hybrid Syst. 3 (2009), 597-604.

URL:http://www.sciencedirect.com/science/article/pii/S1751570X09000582

 

2. S. Abbas and M. Benchohra, Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative, Commun. Math. Anal. 7 (2) (2009), 62-72. URL: http://math-res-pub.org/cma/7/2/partial-hyperbolic-differential-equations-finite-delay-involving-caputo-fractional

 

3. S. Abbas, M. Benchohra and Y. Zhou, Darboux problem for fractional order neutral functional partial hyperbolic differential equations, Int. J. Dynamical Systems Differential Equations, 2 (3&4) (2009), 301-312.

URL: http://www.inderscience.com/info/inarticle.php?artid=31110

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Articles Publiés (2006 - 2008)

 

1. S. Abbas and B. Belaidi, On the hyper order of solutions of a class of higher order linear differential equations, An. St. Univ. Ovidius Constanta, 16 (2) (2008), 15-30. URL: http://www.anstuocmath.ro/mathematics/pdf16/BELAIDI-ASUOC.pdf

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2. S. Abbas and B. Belaidi, Growth and oscillation theory of non-homogeneous complex differential equations with entire coefficients, Int. Math. Forum 1 (38) (2006), 1849-1860.

URL: http://www.m-hikari.com/imf-password/37-40-2006/belaidiIMF37-40-2006.pdf