Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay

被引：25

作者：

Xie, Shengli ^{[1
]}

机构：

[1] Anhui Univ Architecture, Sch Math & Phys, Hefei 230601, Anhui, Peoples R China

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2014年 / 17卷 / 04期

关键词：

impulsive fractional integro-differential evolution equations; mild solutions; fixed point; Kuratowski measure of noncompactness; Banach spaces;

D O I：

10.2478/s13540-014-0219-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence and uniqueness of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay in Banach spaces. We generalize the existence theorem for integer order differential equations to the fractional order case. The results obtained here improve and generalize many known results.

引用

页码：1158 / 1174

页数：17

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