Nonlinear delay integrodifferential systems with Caputo fractional derivative in infinite-dimensional spaces

被引：6

作者：

Wang, JinRong ^{[1
]}

Wei, Wei ^{[1
]}

机构：

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

来源：

ANNALES POLONICI MATHEMATICI | 2012年 / 105卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Caputo fractional derivative; nonlinear delay integrodifferential systems; mild solutions; optimal controls; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; MILD SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.4064/ap105-3-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is mainly concerned with existence of mild solutions and optimal controls for nonlinear delay integrodifferential systems with Caputo fractional derivative in infinite-dimensional spaces. We do not assume that the relevant strongly continuous semigroup is compact.

引用

页码：209 / 223

页数：15

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