SEMILINEAR FRACTIONAL ORDER INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN BANACH SPACES

被引：6
|
作者：
Aissani, Khalida
Benchohra, Mouffak
机构：
[1] Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès
来源：
ARCHIVUM MATHEMATICUM | 2013年 / 49卷 / 02期
关键词：
semilinear differential equations; Caputo fractional derivative; mild solution; measure of noncompactness; fixed point; semigroup; Banach space;
D O I：
10.5817/AM2013-2-105
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper concerns the existence of mild solutions for fractional order integro-differential equations with infinite delay. Our analysis is based on the technique of Kuratowski's measure of noncompactness and Monch's fixed point theorem. An example to illustrate the applications of main results is given.
引用
收藏
页码：105 / 117
页数：13
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