Fractional functional differential equations with causal operators in Banach spaces

被引：45

作者：

Agarwal, Ravi P. ^{[2
]}

Zhou, Yong ^{[1
]}

Wang, JinRong ^{[3
]}

Luo, Xiannan ^{[1
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

[2] Florida Inst Technol, Dept Math, Melbourne, FL 32901 USA

[3] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Fractional functional differential equations; Causal operators; Cauchy problem; Measure of noncompactness; EVOLUTION-EQUATIONS; EXISTENCE; UNIQUENESS; INCLUSIONS;

D O I：

10.1016/j.mcm.2011.04.016

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we study the fractional functional differential equations with causal operators in an arbitrary separable Banach space. By means of the techniques of the measure of noncompactness, the existence and continuation of solutions are given. Further, some topological properties of solution sets are discussed and the existence of optimal solutions of the associated control problem are presented. An example is given to illustrate the result. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1440 / 1452

页数：13

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