Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations

被引：18

作者：

Cao, Junfei ^{[1
]}

Yang, Qigui ^{[1
]}

Huang, Zaitang ^{[1
,2
]}

机构：

[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China

[2] Wuzhou Univ, Sch Math & Phys, Wuzhou 543002, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Optimal mild solutions; Weighted pseudo-almost periodic classical solutions; Fractional integro-differential equations; Existence and uniqueness; DIFFERENTIAL-EQUATIONS; EXISTENCE; UNIQUENESS;

D O I：

10.1016/j.na.2010.08.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a class of fractional integro-differential equations given by d(alpha)x(t)/dt(alpha) = Ax(t) + f (t, x(t), Gx(t)). Our main results concern the existence, uniqueness of optimal mild solutions and weighted pseudo-almost periodic classical solutions. An example is given to illustrate our results. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.

引用

页码：224 / 234

页数：11