On almost automorphic mild solutions for fractional semilinear initial value problems

被引：14

作者：

Chen, Anping ^{[1
,2
]}

Chen, Fulai ^{[1
]}

Deng, Siqing ^{[1
]}

机构：

[1] Xiangnan Univ, Dept Math, Chenzhou 423000, Peoples R China

[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411005, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 03期

关键词：

Fractional differential equation; Almost automorphic function; Mild solution; EXISTENCE;

D O I：

10.1016/j.camwa.2009.07.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates almost automorphic mild solutions of the fractional semilinear equation D(alpha)x(t) = Ax(t) + f(t, x(t)), 0 < alpha < 1, considered in a Banach space x, where A is a linear operator of sectorial type omega < 0. Some sufficient conditions are given for the existence, uniqueness and uniform stability of almost automorphic mild solutions to this semilinear equation. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1318 / 1325

页数：8

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