New existence and stability results for partial fractional differential inclusions with multiple delay

被引:0
|
作者
Abbas, Said [1 ]
Albarakati, Wafaa A. [2 ]
Benchohra, Mouffak [3 ,4 ]
Darwish, Mohamed Abdalla [5 ]
Hilal, Eman M. [5 ]
机构
[1] Univ Saida, Math Lab, Saida 20000, Algeria
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[3] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, Sidi Bel Abbes 22000, Algeria
[4] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[5] King Abdulaziz Univ, Sci Fac Girls, Dept Math, Jeddah, Saudi Arabia
关键词
fractional differential inclusion; left-sided mixed Riemann-Liouville integral; Caputo fractional order derivative; Darboux problem; fixed point; multiple delay; noninstantaneous impulses; Ulam-Hyers-Rassias stability; FUNCTIONAL-INTEGRAL-EQUATION; DARBOUX PROBLEM; ORDER;
D O I
10.4064/ap114-1-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:81 / 100
页数:20
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