一类非线性分数阶微分方程三点边值问题的解

Solutions for nonlinear fractional order 3-point boundary value problem

文中研究的是关于一类非线性分数阶微分方程三点边值问题解的存在性和唯一性。首先,给出了格林函数以及其简单性质;其次,利用Schauder不动点定理和压缩映像原理得到了该边值问题解的相关性质的两个结果;最后举例说明了这两个结果。

Abstract：This paper is concerned with the study on the existence and uniqueness of solutions to nonlinear three-point boundary problems for a fractional differential equation. The study starts with Green＇s function and its properties, followed by the existence and uniqueness of solutions obtained by means of Schauder fixed point theorem and contraction mapping principle. The study concludes with two examples to illustrate the results.