OPTIMAL FEEDBACK CONTROL OF HILFER FRACTIONAL EVOLUTION INCLUSIONS INVOLVING HISTORY-DEPENDENT OPERATORS.

The main purpose of this paper is to study the feedback control systems governed by Hilfer fractional evolution inclusions involving history-dependent operators. We first show a priori estimates of the solutions to the fractional feedback control system. Then, by using the well-known Bohnenblust-Karlin fixed point theorem, we prove an existence theorem for the fractional feedback control system. Finally, we consider an optimal control problem driven by the fractional feedback control system, and establish its solvability. [ABSTRACT FROM AUTHOR]