On the solutions of a Caputo-Katugampola fractionali integro-differential inclusion

Abstract

We consider a Cauchy problem associated with an integrodifferential inclusion of fractional order dened by Caputo-Katugampola derivative and by a set-valued map with nonconvex values and we prove that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions on the unbounded interval.