一类分数阶微分方程多点边值问题解的存在性和唯一性

Existence and uniqueness results for multi-point boundary value problem of fractional-order differential equations

研究了一类分数阶微分方程多点边值解的存在性.在一定条件下,通过利用Banach压缩映像原理以及Krasnoselskii不动点定理,得到了其边值问题解的存在性及唯一性,并举出一个例子说明定理的适用性.

This paper discusses the existence results of multi-point boundary value problem for fractional differential equation. By the Banach contraction mapping principle and Krasnoselskii fixed point theorem, existence and uniqueness of solutions for the fractional differential equations with integral boundary value problem are obtained, in the end, we give an example to illustrate our theorem.