Controllability results for mixed Volterra-Fredholm type fractional integrodifferential equations with infinite delay in Banach spaces

Abstract

In this paper, we establish a set of sufficient conditions for the controllability of mixed Volterra-Fredholm integrodifferential equation with infinite delay in Banach spaces. We use Monch's fixed point theorem via measure of non-compactness combined with strongly continuous semigroup to prove the controllability of the system. An application is also given to illustrate the obtained results.