Optimal feedback control problems driven by fractional evolution hemivariational inequalities

Abstract

This article investigates optimal feedback controls of a system driven by fractional evolution hemivariational inequalities. An existence result with respect to feasible pairs is obtained by applying the Cesari property and a fixed‐point theorem for multivalued maps. Under some suitable assumptions, it is proved that there exists at least 1 optimal feedback control pair of the Lagrange problem. An illustrating example is given.