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
收藏
页码：224 / 234
页数：11
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