Existence And Uniqueness Of Solutions For Boundary Value Problems Of Fractional Differential Equations With P-Laplacian Operator

This paper mainly studies the existence and uniqueness of solutions for several-type fractional differential equations and mixed fractional differential equations with -Laplacian operator.With the aid of fixed point theories and contractive mapping,we can get the existence and uniqueness results.The following paper is organized as follows:In Chapter 1,we outline the background,content and the main works of this paper.In Chapter 2,we study the existence and uniqueness of solutions for fractional differential equations with -Laplacian operator.By employing the GuoKrasnosel'skill fixed point theorem and the contractive mapping,we can obtain the existence and uniqueness results.In Chapter 3,we investigate the existence and uniqueness of solutions for mixed fractional differential equations with -Laplacian operator.In this section,the Leray-Schauder fixed point theorem and contractive mapping are used to give the existence and uniqueness of solution for two-point boundary value problems and multi-point boundary value problems.