On the Cauchy Problem for Nonlinear Fractional Systems with Lipschitzian Matrices Under the Generalized Metric Spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-21 DOI:10.1007/s12346-024-01127-4

Abdelatif Boutiara, Sotiris K. Ntouyas, Taghreed A. Assiri, Jessada Tariboon, Emad E. Mahmoud

引用次数: 0

Abstract

This research paper study the existence, uniqueness and Ulam–Hyers stability of the solutions of a certain system of thegeneralized Caputo fractional differential equations in the context of the generalized metric spaces. The existence and uniqueness theorems are proved by using the Krasnoselskii’s and Perov’s fixed point theorems under the Bielecki norm with a Lipschitzian matrix in the generalized metric spaces. Moreover, the Ulam–Hyers stability analysis is conducted based on the Urs’s criterion. An example, lastly, is proposed to check the efficiency of the above-mentioned theorems. The results are novel and provide extensions to some of the findings known in the literature.

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论广义公设空间下具有 Lipschitzian 矩阵的非线性分式系统的考奇问题

本研究论文在广义度量空间的背景下，研究了某个广义卡普托分数微分方程系统解的存在性、唯一性和 Ulam-Hyers 稳定性。在广义公域空间中，通过使用带有 Lipschitzian 矩阵的 Bielecki 准则下的 Krasnoselskii 定点定理和 Perov 定点定理，证明了存在性和唯一性定理。此外，还根据乌尔斯准则进行了乌兰-海尔斯稳定性分析。最后，提出了一个例子来检验上述定理的有效性。这些结果是新颖的，并对文献中已知的一些结论进行了扩展。

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

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.