A Study of Boundary Value Problem for Generalized Fractional Differential Inclusion Via Endpoint Theory for Weak Contractions

Abstract

This note is concerned with establishing the existence of solutions to a fractional differential inclusion of a psi -Caputo-type with a nonlocal integral boundary condition. Using the concept of the endpoint theorem for phi -weak contractive maps, we investigate the existence of solutions to the proposed problem. An example is provided at the end to clarify the theoretical result.