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
1Laboratory of Mathematics University of Saïda PO Box 138, 20000 Saïda, Algeria
2Department of Mathematics Faculty of Science King Abdulaziz University Jeddah, Saudi Arabia
3Laboratory 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
4Department of Mathematics Sciences Faculty for Girls King Abdulaziz University Jeddah, Saudi Arabia
Annales Polonici Mathematici, Tome 114 (2015) no. 1, pp. 81-100
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {New existence and stability results for partial fractional differential inclusions with multiple delay},
     journal = {Annales Polonici Mathematici},
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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

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