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

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

引用次数: 0

Abstract

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

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。

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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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

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