Exponential stability of impulsive fractional neutral stochastic differential equations

Abstract

In this paper, we investigate the existence of a mild solution and exponential stability for a class of second-order impulsive fractional neutral stochastic differential equations (IFNSDEs) driven by fractional Brownian motion in a real and separable Hilbert space together with the semigroup of a bounded linear operator and stochastic settings. Some meaningful sufficient conditions are derived, which generalize and enhance some existing results. Finally, to show the efficacy of our results, a numerical example is provided.