Geodesic
New existence and stability results for partial fractional differential inclusions with multiple delay
Saïd Abbas1 ; Wafaa A. Albarakati2 ; Mouffak Benchohra3 ; Mohamed Abdalla Darwish4 ; Eman M. Hilal4
1 Laboratory of Mathematics University of Saïda PO Box 138, 20000 Saïda, Algeria
2 Department of Mathematics Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
3 Laboratory of Mathematics University of Sidi Bel-Abbès PO Box 89, 22000 Sidi Bel-Abbès, Algeria E-mail: benchohra@yahoo.com and Department of Mathematics Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
4 Department of Mathematics Sciences Faculty for Girls King Abdulaziz University Jeddah, Saudi Arabia
Annales Polonici Mathematici, Tome 114 (2015) no. 1, pp. 81-100.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We discuss the existence of solutions and Ulam's type stability concepts for a class of partial functional fractional differential inclusions with noninstantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is provided to illustrate our results.
DOI : 10.4064/ap114-1-6
Keywords: discuss existence solutions ulams type stability concepts class partial functional fractional differential inclusions noninstantaneous impulses nonconvex valued right side banach spaces example provided illustrate results

Saïd Abbas 1 ; Wafaa A. Albarakati 2 ; Mouffak Benchohra 3 ; Mohamed Abdalla Darwish 4 ; Eman M. Hilal 4

1 Laboratory of Mathematics University of Saïda PO Box 138, 20000 Saïda, Algeria
2 Department of Mathematics Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
3 Laboratory of Mathematics University of Sidi Bel-Abbès PO Box 89, 22000 Sidi Bel-Abbès, Algeria E-mail: benchohra@yahoo.com and Department of Mathematics Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
4 Department of Mathematics Sciences Faculty for Girls King Abdulaziz University Jeddah, Saudi Arabia 
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Saïd Abbas; Wafaa A. Albarakati; Mouffak Benchohra; Mohamed Abdalla Darwish; Eman M. Hilal. New existence and stability results for partial fractional differential inclusions with multiple delay. Annales Polonici Mathematici, Tome 114 (2015) no. 1, pp. 81-100. doi : 10.4064/ap114-1-6. http://geodesic.mathdoc.fr/articles/10.4064/ap114-1-6/

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