Study On Solutions Of Boundary Value Problems For Several Classes Of Fractional Differential Equations

In recent years,the problems of nonlinear analysis have emerged one after another,because fractional calculus can describe scientific phenomena well,so it has been widely used as a tool to study nonlinear problems.In this paper,we discuss the existence of solutions of three different kinds of nonlinear fractional differential equations,and obtain some meaningful new results,including the following three chapters:In Chapter 1,we study a class of fractional differential equations with p-Laplacian operators By using the increasing φ-(h,e)-concave operators fixed point theorem for concave operators,the existence and uniqueness of solutions are obtained.In Chapter 2,we study a class of coupled fractional differential equations with((?)1,(?)2,(?)3)Laplacian operators By using Avery-Henderson fixed point theorem and Leggett-Williams fixed point theorem,we obtain the existence of multiple positive solutions.In Chapter 3,we study a class of Hadamard fractional differential equation By using Krasnoselskii fixed point theorem and Banach contraction mapping theorem,the existence and uniqueness of solutions is obtained.