A Note Concerning to Optimal Feedback Control for Caputo Fractional Neutral Stochastic Evolution Systems

In this paper, we discuss the optimal feedback control for a system of semilinear neutral stochastic integrodifferential equations in Hilbert space. Using the fixed-point technique, fractional calculus, and stochastic theory we obtained the existence result for the given feedback control system. The existence of feasible pairs were employed by involving Filippov theorem and the Cesari property. Moreover, optimal feedback control pairs are presented under sufficient conditions and also, we extend the discussion to the given system with nonlocal conditions. Finally, an example is given to validate our findings.