Square mean almost automorphic solution of stochastic evolution equations with impulses on time scales

Abstract

In this paper, we study the existence, uniqueness and exponential stability of the square-mean almost automorphic solution for stochastic evolution equation with impulses on time scales. For this purpose, we introduce the concept of equipotentially square-mean almost automorphic sequence and square-mean almost automorphic functions with impulses on time scales. At the end, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.