On exact controllability of neutral integro-differential systems of fractional order with state-dependent delay

Abstract

In this manuscript, we tend to execute Krasnoselskii’s fixed point theorem alongside fractional calculus and operator semigroups to come up with a new set of adequate conditions for the controllability of a class of fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is also given to show the acquired speculations.