基于 Wardowski-Mizoguchi-Takahashi 收缩的一些非线性 g-Caputo 分数阶微分方程解的存在性

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-08-23 DOI:10.1186/s13660-024-03190-6

Babak Mohammadi, Vahid Parvaneh, Mohammad Mursaleen

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引用次数: 0

摘要

在本研究中，我们通过将 g-Caputo 分数微分方程还原为分数积分方程，利用 Wardowskii-Mizoguchi-Takahashi 组合收缩，证明了具有新边界值条件的 g-Caputo 分数微分方程解的存在性和唯一性。我们将举例说明我们的发现。

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 solution for some nonlinear g-Caputo fractional-order differential equations based on Wardowski–Mizoguchi–Takahashi contractions

In this study, we prove the existence and uniqueness of a solution to a g-Caputo fractional differential equation with new boundary value conditions utilizing the combined Wardowski–Mizoguchi–Takahashi contractions via reduction of this equation to a fractional integral equation. We provide an example to demonstrate our findings.

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.