Existence of solutions for fractional differential inclusions with separated boundary conditions in Banach space

Abstract

We discuss the existence of solutions for a class of some separated boundary differential inclusions of fractional orders 2 < α < 3 involving the Caputo derivative. In order to obtain necessary conditions for the existence result, we apply the fixed point technique, fractional calculus, and multivalued analysis. © 2013 Mabrouk Bragdi et al.