Existence of solutions for fractional impulsive neutral functional differential equations with infinite delay

被引：11

作者：

Liao, Jiawu ^{[1
]}

Chen, Fulai ^{[1
]}

Hu, Sanqing ^{[2
]}

机构：

[1] Xiangnan Univ, Dept Math, Chenzhou 423000, Peoples R China

[2] Hangzhou Dianzi Univ, Coll Comp Sci, Hangzhou 310018, Zhejiang, Peoples R China

来源：

NEUROCOMPUTING | 2013年 / 122卷

基金：

中国国家自然科学基金;

关键词：

Fractional functional differential equation; Impulse; Existence of solutions; Hausdorffs measure of noncompactness; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1016/j.neucom.2013.06.034

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we first introduce a class of impulsive neutral fractional functional differential equations which arise from many practical applications such as in viscoelasticity and electrochemistry. After providing a natural formula of solutions for the equations, we then give an existence theorem of the solutions by using the Hausdorffs measure of noncompactness and the theory of Monch. As a result, the existence theory provides a theoretical basis for exploring the solutions of such kinds of differential equations. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：156 / 162

页数：7

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