Stability analysis of Atangana–Baleanu fractional stochastic differential systems with impulses

Abstract

This paper is devoted to exploring a new class of Atangana–Baleanu fractional stochastic differential systems driven by fractional Brownian motion with non-instantaneous impulsive effects. Using resolvent family, fixed point technique, and fractional calculus, we analysed the existence and uniqueness of the mild solution. Moreover, we discussed the stability criteria for the proposed problem. A numerical example is given to illustrate the theoretical results.