Multi-point Boundary Value Problem Of The Class Of Nonlinear Fractional Differential Equations

Study of nonlinear differential equation boundary value problem is one of lasting vitality of the subject, in recent years, the nonlinear boundary value problems of fractional differential equations and one of the hot topics of current research. Mid30s of the last century,Leray Schauder establish Leray Schauder degree theory play an important role in this aspect research.It mainly includes the partial ordering method,.the topological degree theory, the cone theory and the variational method and so on, for many nonlinear problems in the field of today’s science and technology provides a fruitful theoretical tools, in particular in the process of applying subject put forward all kinds of nonlinear differential equation plays an irreplaceable role. Research on nonlinear fractional differential equation boundary value problem. and have rich results. In this paper. using Schauder fixed point theorem of cone expansion and cone fixed point theorem. Leggett-Williams. fixed point theorem and Ascoli-Arzela fixed point theorem to discuss several classes of nonlinear fractional differential equation of multi-point boundary value problems.This is composed of three chapters.In the first chapter,we consider nonlinear fractional differential equations two-point boundary value problem: In chapter2,we consider Sturm-Liouvillc differential equations of nonlinear fractional four-point nonlocal boundary value problem:In chapter3,we consider the following multi-point boundary value problem of nonlinear fractional differential equations:...