MILD SOLUTIONS FOR NONLOCAL FRACTIONAL SEMILINEAR FUNCTIONAL DIFFERENTIAL INCLUSIONS INVOLVING CAPUTO DERIVATIVE

被引：2

作者：

Ibrahim, Ahmed G. ^{[1
]}

Almoulhim, Noriah ^{[1
]}

机构：

[1] King Faisal Univ, Fac Sci, Math Dept, Al Hufuf, Saudi Arabia

来源：

MATEMATICHE | 2014年 / 69卷 / 01期

关键词：

Fractional differential inclusion; Semilinear functional differential inclusions; Caputo derivative; Compact semigroup; Nonlocal conditions; Mild solutions;

D O I：

10.4418/2014.69.1.9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove various existence results of a mild solution for a fractional nonlocal functional semilinear differential inclusion involving Caputo derivative in Banach spaces. We consider the case when the values of the orient field are convex as well as nonconvex. Moreover, we study the topological structure of solution sets. Our results extend or generalize results proved in recent papers.

引用

页码：125 / 148

页数：24

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