Approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay

Abstract

In this article, we establish the sufficient conditions for the approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces. The results are obtained by using the fixed point theorem for discontinuous multi-valued operators due to Dhage with the resolvent operator. An example is provided to illustrate the main results.