On General Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions

被引：8

作者：

Ahmad, Bashir ^{[1
]}

Matar, Mohammed M. ^{[2
]}

Ntouyas, Sotiris K. ^{[1
,3
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Al Azhar Univ Gaza, Dept Math, Gaza, Palestine

[3] Univ Ioannina, Dept Math, Ioannina 45110, Greece

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2020年 / 28卷 / 01期

关键词：

Existence; Fractional differential inclusions; Nonlocal boundary conditions; Fixed point theorems; Multivalued maps; EXISTENCE; EQUATIONS;

D O I：

10.1007/s12591-016-0319-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence of solutions for fractional differential inclusions involving Caputo fractional derivative of any order together with nonlocal integral boundary conditions. Our study includes the cases when the multivalued map involved in the problem has convex as well as non-convex values. Some standard fixed point theorems for multivalued maps are applied to establish the main results, which are well illustrated with the aid of examples.

引用

页码：241 / 254

页数：14

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