The Existence Of Solutions Of Two Types Of Nonlinear Fractional Differential Equations

In this thesis,we concentrate on the existence of solutions of two classes of fractional differential equations,we arrange the thesis as follows:In chapter 1,we provide an introduction which consists of the research background and present development on this topic.Besides,we present some definitions and preliminaries for our main work.In chapter 2,we research the existence and uniqueness of solutions of a type of Caputo fractional differential equation with multipoint fractional integral boundary value conditions by Lcray-Schauder’s fixed point theorem and Banach’s fixed point theorem respectively.In chapter 3,we research the existence and uniqueness of solutions of a.new type of nonlinear Langcvin equation with hybrid integral boundary value conditions by Lcray-Schaudcr’s fixed point theorem and Banach’s fixed point theorem respect.ively.