Existence results for fractional neutral integro-differential equations with state-dependent delay

被引：80

作者：

Carvalho dos Santos, Jose Paulo ^{[1
]}

Arjunan, M. Mallika ^{[2
]}

Cuevas, Claudio ^{[3
]}

机构：

[1] Univ Fed Alfenas, Inst Ciencias Exatas, BR-37130000 Alfenas, MG, Brazil

[2] Karunya Univ, Dept Math, Coimbatore 641114, Tamil Nadu, India

[3] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期

关键词：

Integro-differential equations; Neutral equations; State-dependent delay; Caputo derivative; FUNCTIONAL-DIFFERENTIAL EQUATIONS; PERIODIC-SOLUTIONS; UNIQUENESS;

D O I：

10.1016/j.camwa.2011.03.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of mild solutions for a class of abstract fractional neutral integro-differential equations with state-dependent delay. The results are obtained by using the Leray-Schauder alternative fixed point theorem. An example is provided to illustrate the main results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1275 / 1283

页数：9

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