ϖ-分式偏微分方程的 Ulam-Hyers-Rassias Mittag-Leffler 稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-28 DOI:10.1186/s13660-024-03170-w

Mohamed Rhaima, Djalal Boucenna, Lassaad Mchiri, Mondher Benjemaa, Abdellatif Ben Makhlouf

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引用次数: 0

摘要

本文全面分析了ϖ-分式偏微分方程的解表示，尤其侧重于达尔布问题的线性情形。我们展示了ϖ-分式偏微分方程线性情况下达尔布问题的解在连续函数空间中的表示。通过应用广义 Gronwall 不等式，我们建立了连续函数空间中的 Ulam-Hyers-Rassias Mittag-Leffler 稳定性。我们列举了三个数值示例来说明我们结果的有效性和适用性。

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Ulam–Hyers–Rassias Mittag-Leffler stability of ϖ–fractional partial differential equations

This paper offers a comprehensive analysis of solution representations for ϖ-fractional partial differential equations, specifically focusing on the linear case of the Darboux problem. We exhibit a representation of the solutions for the Darboux problem of ϖ-fractional partial differential equations in the linear case in the space of continuous functions. Through the application of the generalized Gronwall inequality, we establish the Ulam–Hyers–Rassias Mittag–Leffler stability in the space of continuous functions. Three numerical examples are presented to show the effectiveness and the applicability of our results.

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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.