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.
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页码：156 / 162
页数：7
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