文献类型：期刊文献

英文题名：Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay

作者：Ren, Yong[2];Qin, Yan[1];Sakthivel, R.[3]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Univ Tasmania, Sch Math, Hobart, Tas 7001, Australia;[3]Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

年份：2010

卷号：67

期号：1

起止页码：33

外文期刊名：INTEGRAL EQUATIONS AND OPERATOR THEORY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000277097100003)】；

基金：The first author is a postdoctoral research fellow of University of Tasmania and he would like to thank the Australian Research Council for funding this project through Discovery Project DP0770388 and the University of Tasmania, in particular, Dr. Malgorzata O'Reilly for providing a stimulating working environment. Also, he is partially supported by the Great Research Project of Natural Science Foundation of Anhui Provincial Universities (No. KJ2010ZD02).

语种：英文

外文关键词：Fractional order differential equation; fractional derivative; fractional integral; fixed point theorem; mild solution

摘要：This paper is concerned with existence results of mild solutions for fractional order semilinear integro-differential evolution equations (FSIDEEs) and semilinear neutral integro-differential evolution equations (FSNIDEEs in short) with infinite delay in alpha-norm. Our tools include the Banach contraction principle, the nonlinear alternative of Leray-Schauder type and the Krasnoselskii-Schaefer type fixed point theorem.