一类分数阶微分方程四点边值问题三正解的存在性

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2022-08-01 DOI:10.1051/wujns/2022274287

Liu Yang, Chun-fang Shen, Hui Zhou

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引用次数: 1

摘要

本文通过Avery-Peterson不动点定理和对格林函数的仔细分析，得到了一类分数阶微分方程边值问题的至少三个正解的存在性结果。给出了一个例子来说明我们的主要结果。我们的结果补充了先前在分数阶微分方程正解领域的工作。

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 Triple Positive Solutions to a Four-Point Boundary Value Problem of a Fractional Differential Equations

In this paper, the existence result of at least triple positive solutions to a boundary value problem of a fractional differential equations is achieved by means of the Avery-Peterson fixed point theorem and the careful analysis of the associate Green's function in which the derivative of unknown function is involved in the nonlinear term explicitly. An example illustrating our main result is given. Our results complement the previous work in the area of the positive solutions of fractional differential equations.

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来源期刊

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.