一类无穷区间上分数阶微分方程组边值问题正解的存在性

Existence of Solutions for a Class of Fractional Differential Equations with Boundary Value Problems on Infinite Interval

本文研究了一类无穷区间上分数阶微分方程组的边值问题。先构造Green函数,并讨论相关性质,再利用锥拉伸与锥压缩定理和Leggett-Williams不动点定理讨论边值问题解的存在性,最后给出例子说明定理的适用性。

In this paper,we study existence of solutions for a class of fractional differential equations with boundary value problems on infinite interval by using cone compression,cone expansion fixed point theorem and Leggett-Williams fixed point theorem.Example is presented to illustrate our results.