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

Advances in Difference Equations

Hamdy M Ahmed¹ 

[1] Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

关键词: fractional Brownian motion;    approximate controllability;    mild solution;    impulsive neutral stochastic functional differential equations;    fixed point theorem;   

DOI  :  10.1186/1687-1847-2014-113

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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

【 授权许可】

CC BY