An analysis on the optimal feedback control for Caputo fractional neutral evolution systems in Banach spaces

This paper focuses on optimal feedback control for a system involving neutral fractional equations in a Banach space. First, our investigation centers on establishing the existence of a mild solution for the given control system. We derive feasible pairs by using the Filippov theorem and the Cesari property. Furthermore, optimal feedback control pairs are introduced based on some sufficient conditions. Finally, we offer a simple illustration to support and demonstrate our theoretical findings.