Contribution on Implicit Fractional Differential Equations and Inclusions

Abstract

In this thesis , we prove the existence and uniqueness of integrable solutions for boundary value problems for implicit fractional di erential equation and inclusions with fractional derivative in the sense of Caputo and Caputo-Hardamard with non-local condition and integral boundary conditions. Our results are obtained by means of xed point theorems (Schauder, Banach contraction principle, Nonlinear alternative of Leray-Schauder and xed point theorem for contraction multivalued type maps due to Covitz and Nadler.)