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 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.