一类无穷区间上的多点分数阶边值问题解的存在性和唯一性

Existence and Uniqueness of Solutions to a Class of Multi-Point Fractional Boundary Value Problem on the Infinite Interval

本文讨论一类无穷区间上的多点分数阶边值问题,的可解性。通过应用Leray-Schauder非线性抉择定理和Banach压缩映像原理,得到解的存在性和唯一性。最后给出例子说明定理的适用性。

In this paper, we consider the following multi-point boundary value problem of fractional differ-ential equation on the infinite interval , By using Leray-Schauder Nonlinear Alternative theorem and Banach fixed point theorem, some results on the existence and uniqueness of solutions can be established.