湖州师范学院学报2024,Vol.46Issue(8) :1-8.

一类Riemann-Liouville型分数阶微分方程积分边值问题的正解

Positive Solutions for Integral Boundary Value Problems of a Class of Riemann-Liouville-type Fractional Differential Equations

马亚茹 柏仕坤
湖州师范学院学报2024,Vol.46Issue(8) :1-8.

一类Riemann-Liouville型分数阶微分方程积分边值问题的正解

Positive Solutions for Integral Boundary Value Problems of a Class of Riemann-Liouville-type Fractional Differential Equations

马亚茹 1柏仕坤1
扫码查看

作者信息

  • 1. 重庆师范大学 数学科学学院,重庆 401331
  • 折叠

摘要

运用不动点方法研究具有Riemann-Stieltjes积分边界条件的Riemann-Liouville型分数阶微分方程的边值问题.将该方程转化成等价的积分方程,在合适的工作空间构造对应的算子方程,再借助Krasnosel'skii-Zabreiko不动点定理求解其不动点,进而获得原方程正解的存在性.

Abstract

Based on the fixed point theory,this paper aims to study the boundary value problem for a Riemann-Liouville-type fractional differential equation with Riemann-Stieltjes integral boundary value conditions.Firstly,its equivalent integral equation is transformed,and the corresponding operator equation is constructed in the function space.Then,fixed points of the operator equation are obtained by using the Krasnosel'skii-Zabreiko fixed point theorem,and so the existence of positive solutions is shown for the considered problem.

关键词

边值问题/正解/Krasnosel'skii-Zabreiko不动点定理

Key words

boundary value problems/positive solutions/Krasnosel'skii-Zabreiko fixed point theorem

引用本文复制引用

基金项目

国家自然科学基金项目(11971081)

重庆市自然科学基金项目(cstc2020jcyjmsxmX0123)

出版年

2024
湖州师范学院学报
湖州师范学院

湖州师范学院学报

影响因子:0.301
ISSN:1009-1734
段落导航相关论文