Existence results for Caputo type sequential fractional differential inclusions with nonlocal integral boundary conditions

被引：21
|
作者：
Ahmad B. [1 ]
Ntouyas S.K. [1 ,2 ]
机构：
[1] Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah
[2] Department of Mathematics, University of Ioannina, Ioannina
来源：
Journal of Applied Mathematics and Computing | 2016年 / 50卷 / 1-2期
关键词：
Fixed point theorems; Fractional differential inclusions; Integral boundary conditions; Sequential fractional derivative;
D O I：
10.1007/s12190-014-0864-4
中图分类号：
学科分类号：
摘要：
In this paper, we study a new class of Caputo type sequential fractional differential inclusions with nonlocal Riemann–Liouville fractional integral boundary conditions. The existence of solutions for the given problem is established for the cases of convex and non-convex multivalued maps by using standard fixed point theorems. The obtained results are well illustrated with the aid of examples. © 2015, Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：157 / 174
页数：17
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