Pseudo almost automorphic mild solution of nonautonomous stochastic functional integro-differential equations

Abstract

In this paper, we propose a new class of stochastic process called (?,?)-pseudo almost automorphic in p-mean, which generalize in a natural fashion the concept of square-mean almost automorphy and its various extensions. As application, we establish the existence, uniqueness of(?,?)-pseudo almost automorphic in p-distribution mild solution to nonautonomous stochastic functional integro-differential equations. Finally, an example is given to illustrate the significance of the main findings.