Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations

被引：1

作者：

Cao, Jianxin ^{[1
]}

Chen, Haibo ^{[2
]}

Yang, Weifeng ^{[1
]}

机构：

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

[2] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

fractional neutral differential equations; nonlocal conditions; infinite delay; mild solutions; resolvent operators;

D O I：

10.1186/s13662-014-0333-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is mainly concerned with the existence, uniqueness and continuous dependence of mild solutions for fractional neutral functional differential equation with nonlocal initial conditions and infinite delay. The results are obtained by means of the classical fixed point theorems combined with theory of resolvent operators for integral equations.

引用

页码：1 / 14

页数：14

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