Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay

Abstract

Abstract. In the present paper we investigate the existence of solutions for a system of integral inclusions of fractional order with multiple delay. Our results are obtained upon suitable fixed point theorems, namely the Bohnenblust-Karlin fixed point theorem for the convex case and the Covitz-Nadler for the nonconvex case.

Extremal Solutions and Relaxation Problems for Fractional Differential Inclusions

“…Recently fractional functional differential equations and inclusions and impulsive fractional differential equations and inclusions with standard Riemann-Liouville and Caputo derivatives with differences conditions were studied by Abbas et al [21,22], Benchohra et al [23], Henderson and Ouahab [24,25], Jiao and Zhou [26], and Ouahab [27][28][29] and in the references therein.…”