兰州理工大学学报2024,Vol.50Issue(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

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

武瑜 王文霞
兰州理工大学学报2024,Vol.50Issue(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

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

武瑜 1王文霞1
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作者信息

  • 1. 太原师范学院数学与统计学院,山西晋中 030619
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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.

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,suf-ficient conditions for the existence of a unique positive solution to the boundary value problems are estab-lished.In addition,two specific examples are given to illustrate theoretical results.

关键词

分数阶微分方程/p-Laplacian算子/不动点

Key words

fractional differential equation/p-Laplacian operator/fixed point

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基金项目

国家自然科学基金(11361047)

出版年

2024
兰州理工大学学报
兰州理工大学

兰州理工大学学报

CSTPCD北大核心
影响因子:0.57
ISSN:1673-5196
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