摘要
本文研究一类分数阶微分方程的多点边值问题.利用Guo-krasnoselskii不动点定理和Leggett-Williams不动点定理,得到正解的存在性和多重性结果.通过一个简单的例子说明了主要结果的应用.
In this article, we study multi-point boundary value problems of a class of fractional differential equation. By means of the Guo-Krasnoselskii fixed point theorem and Leggett-Williams fixed point theorem, some existence and multiplicity results on the positive solutions are acquired. A simple example is given to show the application of the main results.
作者
董伟萍
周宗福
DONG Weiping;ZHOU Zongfu(School of Mathematical Sciences,Anhui University,Hefei 230601,China)
出处
《应用数学》
CSCD
北大核心
2022年第1期43-52,共10页
Mathematica Applicata
基金
Supported by the Key Natural Science Foundation of the Education Department of Anhui Province (KJ2019A1303)
the Key Natural Science Foundation of the Education Department of Bozhou University(BYZ2018B03)
Anhui Provincial Natural Science Foundation (1608085MA12)。
关键词
正解
分数阶微分方程
存在性与多重性
多点
Positive solution
Fractional differential equation
Existence and multiplicity
Multi-point
