Stability and solvability analysis for a class of optimal control problems described by fractional differential equations with non-instantaneous impulses

Abstract

This paper is intended as an attempt to investigate the existence and stability of solutions for a class of fractional optimal control problems characterized with non-instantaneous impulsive differential equations. By using the method of minimizing sequence and the related conclusions of set-valued mapping, the results of solvability and stability for a class of optimal control problems are obtained in the suitable metric space.