Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (3): 570-581.

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Asymptotic Stability of Impulsive Neutral Stochastic Functional Differential Equation Driven by Fractional Brownian Motion

Jing Cui*(),Qiuju Liang,Nana Bi   

  1. College of Mathematics and Statistics, Anhui Normal University, Anhui Wuhu 241000
  • Received:2017-02-24 Online:2019-06-26 Published:2019-06-27
  • Contact: Jing Cui
  • Supported by:
    the NSFC(11401010);the NSFC(11571071);the Natural Science Foundation of Anhui Province(1708085MA03);the Distinguished Young Scholars Foundation of Anhui Province(1608085J06)


In this paper, we consider the asymptotic stability in the p-th moment of mild solutions of impulsive neutral stochastic functional differential equations driven by fractional Brownian motion in a real separable Hilbert space. A fixed point approach is used to achieve the required result. A practical example is provided to illustrate the viability of the abstract result of this work.

Key words: Asymptotic stability, Stochastic evolution equations, Fractional Brownian motion

CLC Number: 

  • O211.9