Abstract

This paper is concerned with the existence of mild solutions and approximate controllability for a class of noninstantaneous impulsive fractional neutral measure evolution systems with state-dependent delay. First, the existence of mild solutions for the considered system is obtained by using Kuratowski's measure of noncompactness and the set contraction fixed point theorem. Next, under the assumption that the correlated linear system is approximately controllable, the approximate controllability of the system is studied. Finally, we present two applications to support the practical usefulness of the study