Existence and controllability results for fractional semilinear differential inclusions

In this paper, we prove the existence and controllability results for fractional semilinear differential inclusions involving the Caputo derivative in Banach spaces. The results are obtained by using fractional calculation, operator semigroups and Bohnenblust-Karlin's fixed point theorem. At last, an example is given to illustrate the theory. (C) 2011 Elsevier Ltd. All rights reserved.