A study on stability results for stochastic nonlinear systems of difference equations

Abstract

In this paper, we present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involving Riemann-Liouville-like difference operator. The results are obtained by using Krasnoselskii’s fixed point theorem and discrete Arzela-Ascoli’s theorem. Three examples are also provided to illustrate our main results.