Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space

被引：50

作者：

Ahmed, Hamdy M. ^{[1
]}

机构：

[1] El Shorouk Acad, Higher Inst Engn, Cairo, Egypt

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

fractional Brownian motion; approximate controllability; mild solution; impulsive neutral stochastic functional differential equations; fixed point theorem; INTEGRODIFFERENTIAL-SYSTEMS; LINEAR-SYSTEMS; DELAY;

D O I：

10.1186/1687-1847-2014-113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Approximate controllability for impulsive neutral stochastic functional differential equations with finite delay and fractional Brownian motion in a Hilbert space are studied. The results are obtained by using semigroup theory, stochastic analysis, and Banach's fixed point theorem. Finally, an example is given to illustrate the application of our result. MSC: 60H15, 60G22, 93B05, 34A37.

引用

页数：11

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