Controllability of fractional impulsive neutral stochastic functional differential equations via Kuratowski measure of noncompactness

被引：1

作者：

Hu, Junhao ^{[1
]}

Yang, Jiashun ^{[1
]}

Yuan, Chenggui ^{[2
]}

机构：

[1] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Swansea Univ, Dept Math, Singleton Pk, Swansea SA2 8PP, W Glam, Wales

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 07期

关键词：

Controllability; fractional differential equations; impulsive stochastic differential equations; Kuratowski measure of noncompactness; Monch fixed point theorem; RAZUMIKHIN-TYPE THEOREMS; APPROXIMATE CONTROLLABILITY; EXPONENTIAL STABILITY; SYSTEMS; DELAY;

D O I：

10.22436/jnsa.010.07.43

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the controllability problem for a class of fractional impulsive neutral stochastic functional differential equations is considered in infinite dimensional space. By using Kuratowski measure of noncompactness and Monch fixed point theorem, the sufficient conditions of controllability of the equations are obtained under the assumption that the semigroup generated by the linear part of the equations is not compact. At the end, an example is provided to illustrate the proposed result. (C) 2017 All rights reserved.

引用

页码：3903 / 3915

页数：13

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