Existence Of Solutions For Boundary Value Problems Of Fractional Differential Equations

Fractional order differential equations as an important branch of nonlinear func-tional analysis, because it can solve many practical problems and get attention. In recent years, the integer order differential equations with nonlocal boundary value problem is widely research, including boundary conditions are diverse, each applies to different problems in practical application.In this article, we use the fixed point theory,the upper and lower solution method with multi-point boundary value problems and integral boundary value problems of fractional order differential equation and a new class of fractional order differential equation.The thesis is divided into four chapters according to the contents.Chapter1 Introduction, is introduced in this paper, we study the main problems and the related problems and the lemma.Chapter 2 Discussed with multi-point boundary value problems of fractional dif-ferential equations.(?)where 2 < ? ? 3,m?1,m,? are integer ,0<?1<?2<?3…<?n<1,??(0,-?),1?i?m,?i<1,(?),f?(C[0,1]×[0,?)×[0,?];[0,?)).Chapter 3 In this paper, we study the existence of solution of(?)Chapter 4 By using the fixed point theorem,we will study the following with a new definition of differential equations of fractional order derivative(?)...