Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition

This paper is concerned with the existence of mild solutions and exact controllability for a class fractional measure evolution systems state-dependent delay nonlocal conditions. We first establish an result problem by applying integral equation which given in terms probability density semigroup theory. Then, are obtained using calculus theory, Kuratowski noncompactness Mönch fixed point theorem, without imposing Lipschitz continuity on nonlinear term. Finally, we give two applications to support validity study.