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 Monch 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. (C) 2015 Elsevier Inc. All rights reserved.