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具有p-Laplacian算子的分数阶微分耦合系统边值问题的正解

王宁 周宗福

应用数学2023,Vol.36Issue(2):530-539,10.
应用数学2023,Vol.36Issue(2):530-539,10.

具有p-Laplacian算子的分数阶微分耦合系统边值问题的正解

Positive Solutions of Boundary Value Problem for Fractional Differential Coupled Systems with p-Laplacian Operator

王宁 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 paper,a class of fractional differential coupled systems with p-Laplacian operator and infinite multi-point boundary value conditions is considered.The existence of at least three positive solutions for the boundary value problem is obtained by using Avery-Peterson fixed point theorem.The research of this paper extends the known results.

关键词

耦合系统/p-Laplacian算子/不动点定理/正解

Key words

Coupled system/p-Laplacian operator/Fixed point theorem/Positive solution

分类

数理科学

引用本文复制引用

王宁,周宗福..具有p-Laplacian算子的分数阶微分耦合系统边值问题的正解[J].应用数学,2023,36(2):530-539,10.

基金项目

Supported by Anhui provincial Natural Science Foundation(1608085MA12) (1608085MA12)

应用数学

OA北大核心CSTPCD

1001-9847

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