一类具有非局部边界条件的 p-Laplacian 分数微分方程正解的存在性

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-08-06 DOI:10.1186/s13661-024-01905-8

Jiqiang Jiang, Xuelin Sun

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引用次数: 0

摘要

本文致力于证明具有卡普托和黎曼-刘维尔分数导数的 p-拉普拉斯方程正解的唯一性。根据混合单调算子的定点定理建立了唯一性结果和解对参数的依赖性。最后，通过数值模拟验证了主要结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of positive solutions for a class of p-Laplacian fractional differential equations with nonlocal boundary conditions

This article is devoted to proving the uniqueness of positive solutions for p-Laplacian equations with Caputo and Riemann-Liouville fractional derivative. The uniqueness result and the dependence of the solution on a parameter are established based on the fixed point point theorem of mixed monotone operators. In the end, a numerical simulation is given to verify the main results.

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.