Optimal controls of fractional impulsive partial neutral stochastic integro-differential systems with infinite delay in Hilbert spaces

Abstract

In this paper, we establish the existence of optimal controls of systems governed by a class of fractional impulsive partial neutral stochastic integro-differential systems with infinite delay in a Hilbert space. The approaches used are fixed point theorem, stochastic analysis theory, and approximation technique combined with properties of the solution operator. Finally, an example is discussed to illustrate the efficiency of the results.