Controllability for Sobolev type fractional integro-differential systems in a Banach space

Abstract

In this paper, by using compact semigroups and the Schauder fixed-point theorem, we study the sufficient conditions for controllability of Sobolev type fractional integro-differential systems in a Banach space. An example is provided to illustrate the obtained results. MSC: 26A33, 34G20, 93B05. © 2012 Ahmed; licensee Springer.