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

被引：81
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.
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收藏
页码：1275 / 1283
页数：9
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