Existence Of Positive Solutions For Four Points Boundary Value Problems Of A Kind Of Nonlinear Fractional Differential Equation

Fractional differential equation boundary value problem has a wide range of sources inpractice and theory, positive solutions has more important practical significance. This papermainly studies the existence of positive solutions of a kind of specific boundary valueproblems of ordinary differential equations, the text consists of five chapters. The first chapter,the introduction part introduces the background and research status quo of fractional orderdifferential; The second chapter, mainly introduced the basic knowledge of the fractionalorder calculus (including basic concepts, nature, Green function and several fixed pointtheorems). The third chapter, mainly introduces the concept of fractional differentialequations and some conclusions (a few related conclusion about initial value problems andboundary value problems of fractional differential equations). The fourth chapter, is the maininnovation results of this article, in this paper we discuss the existence of positive solution ofthe two concrete four-point boundary value of fractional order differential equation; The fifthchapter, summarizes the paper conclusion and put forward to further study the problem.