Some results for impulsive fractional differential inclusions with infinite delay and sectorial operators in Banach spaces

被引：8

作者：

Cao, Jianxin ^{[1
]}

Luo, Yiping ^{[2
]}

Liu, Guanghui ^{[1
]}

机构：

[1] Hunan Inst Engn, Fac Sci, Xiangtan 411104, Hunan, Peoples R China

[2] Hunan Inst Engn, Coll Elect & Informat Engn, Xiangtan 411104, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 273卷

基金：

中国国家自然科学基金;

关键词：

Fractional differential inclusions; Non local conditions; Existence results; Continuous dependence; BOUNDARY-VALUE PROBLEM; APPROXIMATE CONTROLLABILITY; CONTINUOUS DEPENDENCE; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.amc.2015.09.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with impulsive fractional differential inclusions with sectorial operators, nonlocal conditions and infinite delay in Banach spaces. Using tools involving the measure of noncompactness and multi-valued fixed point theory, we derive some existence results of PC-mild solutions when the multivalued map F is convex as well as nonconvex. Furthermore, the compactness of the set of solutions and continuous dependence results are also obtained. As an application, an impulsive neutral partial functional differential equation is also investigated at last. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：237 / 257

页数：21

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