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一类分数阶微分方程多点边值问题正解的存在性

董伟萍 周宗福

应用数学2022,Vol.35Issue(1):43-52,10.
应用数学2022,Vol.35Issue(1):43-52,10.

一类分数阶微分方程多点边值问题正解的存在性

Existence of Positive Solutions for a Fractional Differential Equation with Multi-point Boundary Value Problems

董伟萍 1周宗福1

作者信息

  • 1. 安徽大学数学科学学院,安徽 合肥 230601
  • 折叠

摘要

Abstract

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.

关键词

正解/分数阶微分方程/存在性与多重性/多点

Key words

Positive solution/Fractional differential equation/Existence and multiplici-ty/Multi-point

分类

数理科学

引用本文复制引用

董伟萍,周宗福..一类分数阶微分方程多点边值问题正解的存在性[J].应用数学,2022,35(1):43-52,10.

基金项目

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) (KJ2019A1303)

应用数学

OA北大核心CSTPCD

1001-9847

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