非线性分数阶微分方程半正数奇异三点边值问题的正解

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-28 DOI:10.1016/j.nonrwa.2025.104425

Xueyan Zhang , Zhaocai Hao , Martin Bohner

引用次数: 0

摘要

本文研究了一类半正的Caputo分数阶微分方程奇异三点边值问题正解的存在性。该证明依赖于郭-克拉斯诺塞尔斯基不动点定理的应用。最后，给出了一个说明性的例子。

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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Positive solutions of semipositone singular three-points boundary value problems for nonlinear fractional differential equations

This study introduces the existence of one positive solution for a specific category of semipositive singular three-point boundary value problems associated with Caputo fractional differential equations. The proof relies on the application of the Guo–Krasnosel’skii fixed point theorem. In the end, we provide an illustrative example.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.