Existence and controllability of fractional stochastic neutral functional integro-differential systems with state-dependent delay in Frechet spaces

被引：3

作者：

Yan, Zuomao ^{[1
]}

Lu, Fangxia ^{[1
]}

机构：

[1] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fractional neutral stochastic integro-differential equations; fractional derivatives and integrals; state-dependent delay; solution operator; fixed point theorem; DIFFERENTIAL EQUATIONS; EVOLUTION-EQUATIONS; MILD SOLUTIONS; UNIQUENESS; STABILITY;

D O I：

10.22436/jnsa.009.02.24

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence and uniqueness of solutions of mild solutions for a fractional stochastic neutral functional integro-differential equation with state-dependent delay in Frechet spaces. The main techniques rely on the fractional calculus, properties of characteristic solution operators and fixed point theorems. Since we do not assume the characteristic solution operators are compact, our theorems guarantee the effectiveness of controllability results in the infinite dimensional spaces. (C) 2016 All rights reserved.

引用

页码：603 / 616

页数：14

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