一类带有p-Laplacian算子的分数阶积分边值问题正解的存在性

兰州理工大学学报 ›› 2024, Vol. 50 ›› Issue (5): 153-160.

一类带有p-Laplacian算子的分数阶积分边值问题正解的存在性

武瑜, 王文霞^*

太原师范学院数学与统计学院, 山西晋中 030619

收稿日期:2022-11-26 出版日期:2024-10-28 发布日期:2024-10-31
通讯作者: 王文霞(1964-),女,河北任丘人,博士,教授.Email:wwxgg@126.com
基金资助:
国家自然科学基金(11361047)

The existence of positive solutions to a class of fractional integral boundary value problems with p-Laplacian operators

WU Yu, WANG Wen-xia

School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China

Received:2022-11-26 Online:2024-10-28 Published:2024-10-31

摘要/Abstract

摘要： 研究了一类带有p-Laplacian算子的分数阶积分边值问题正解的存在性,利用混合单调算子的不动点定理,获得了该边值问题唯一正解存在的充分条件,并给出两个具体的例子作为应用.

关键词: 分数阶微分方程, p-Laplacian算子, 不动点

Abstract: The existence of positive solutions to a class of fractional integral boundary value problems with p-Laplacian operators is studied. By employing the fixed point theorem of mixed monotone operators, sufficient conditions for the existence of a unique positive solution to the boundary value problems are established. In addition, two specific examples are given to illustrate theoretical results.

Key words: fractional differential equation, p-Laplacian operator, fixed point

中图分类号:

O175.8

武瑜, 王文霞. 一类带有p-Laplacian算子的分数阶积分边值问题正解的存在性[J]. 兰州理工大学学报, 2024, 50(5): 153-160.

WU Yu, WANG Wen-xia. The existence of positive solutions to a class of fractional integral boundary value problems with p-Laplacian operators[J]. Journal of Lanzhou University of Technology, 2024, 50(5): 153-160.

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