Weak solutions for three-point boundary value problem of caputo type modification of the Erdélyi-Kober fractional differential inclusions

Abstract

In this paper we deal with the existence of weak solutions for some Three-Point Boundary Value Problem of fractional Caputo-type modification of the Erdélyi-Kober differential inclusions and a coupled system fractional difference inclusions. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak noncompactness. Two illustrative examples included to show the applicability of our outcomes.