Almost Automorphic Solutions to Abstract Fractional Differential Equations

被引：8

作者：

Ding, Hui-Sheng ^{[1
]}

Liang, Jin ^{[2
]}

Xiao, Ti-Jun ^{[3
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

基金：

高等学校博士学科点专项科研基金;

关键词：

Abstract Result; Uniqueness Theorem; Mild Solution; Fractional Differential Equation; Lipschitz Constant;

D O I：

10.1155/2010/508374

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation D(t)(alpha)u(t) = Au(t) + D(t)(alpha-1)f(t,u(t)) (1 < alpha < 2), in complex Banach spaces, with Stepanov-like almost automorphic coe. cients. Moreover, an application to a fractional relaxation-oscillation equation is given.

引用

页数：9

共 50 条

[1] Almost Automorphic Solutions to Abstract Fractional Differential Equations
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[J]. Advances in Difference Equations, 2010
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