Controllability of fractional integro-differential evolution equations with nonlocal conditions

This paper concerns the controllability for a class of fractional integro-differential evolution equations with nonlocal initial conditions. By using the fractional calculus, measure of noncompactness and the Mönch fixed point theorem, we obtain a controllability result for the nonlocal Cauchy problem of the fractional integro-differential evolution equations involving noncompact semigroups and the nonlocal functions without Lipschitz continuity. An example is given to illustrate the effectiveness of the abstract results.