Optimal control problem for fractional stochastic nonlocal semilinear system

Abstract

This article deals with the optimal control of the fractional stochastic nonlocal semilinear system in Hilbert space. The existence and uniqueness results for the mild solution are derived using Banach fixed point theorem. The optimal control is proved using minimizing sequence approach and Mazur's lemma. For better understanding of theory, we have included one example.