On almost automorphic mild solutions for fractional semilinear initial value problems

被引:15
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
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
收藏
页码:1318 / 1325
页数:8
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