一类分数阶微分方程边值问题多个正解的存在性

Problem of Positive Solutions for Boundary Value Nonlinear Fractional Differential Equations

用锥压拉不动点定理和Leggett-Williams不动点定理,以及一些分析的技巧研究了一类分数阶微分方程边值问题正解的存在性,得到了这类边值问题其正解存在的充分条件,从而推广了该类方程解的性态.

By using Krasnoselkiis fixed-point theory,Leggett-Williams fixed-point theory and the analytical skill,this paper studies the existence of positive solutions for boundary value problem of nonlinear fractional differential equations.We obtain some sufficient conditions of existence of positive solutions for this class of systems.