Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

被引：17

作者：

Agarwal, Ravi P. ^{[1
,2
]}

Ahmad, Bashir ^{[1
]}

Alsaedi, Ahmad ^{[1
]}

Shahzad, Naseer ^{[1
]}

机构：

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

[2] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

nonlocal problem; fractional differential inclusions; topological dimension; mild solution; fixed point theorems;

D O I：

10.1186/1687-1847-2012-74

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies the existence and dimension of the set for mild solutions of semilinear fractional differential inclusions. We recall and prove some new results on multivalued maps to establish our main results. MSC 2010: 34A12; 34A40.

引用

页数：10

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