Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces

被引：8

作者：

Wang, JinRong ^{[1
,2
]}

Ibrahim, Ahmed G. ^{[3
]}

机构：

[1] Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R China

[2] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[3] King Faisal Univ, Fac Sci, Dept Math, Al Hasa 31982, Saudi Arabia

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1155/2013/518306

中图分类号：

学科分类号：

摘要：

We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compactness property of the set of solutions. Secondly, we establish two cases of sufficient conditions for the controllability of the considered control problems.

引用

页数：16

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