The Existence Of Solutions Of Differential Equations With Nonlinear Boundary Conditions

The differential equation is an important part of nonlinear functional analysis, and the existence of solutions of fractional differential equations is one of the most active fields in nonlinear functional analysis. In this paper, we mainly study the existence of solution of fractional differential equation by using the Banach contraction mapping principle, Krasnoselskii's fixed point theorem and Guo-Krasnosel'skii fixed point theorem.This paper is divided into two chapters. In Chapter 1, by using the upper and lower solution method and the monotone iterative method, we studied the fractional differential equations with integral boundary conditions where 2<?<3, 0<?<1, cD0+?+isCaputofunction.In Chapter 2, we mainly study the existence of solutions of the following fractional differential equations.where 3<v?4,0<??1. In this chapter, we mainly use the Lipschitz condition and Krasnoselskii's fixed point theorem to obtain the existence of solution of fractional differential equation.