具有可变Caputo-Fabrizio分数阶的新型冠状病毒（2019-nCOV）系统分析
Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order.
作者信息
Verma Pratibha, Kumar Manoj
机构信息
Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India.
出版信息
Chaos Solitons Fractals. 2021 Jan;142:110451. doi: 10.1016/j.chaos.2020.110451. Epub 2020 Nov 10.
Abstract
The main aim of this study is to present a new variable fractional-order derivatives for novel coronavirus (2019-nCOV) system with the variable Caputo-Fabrizio in Caputo sense. By using the fixed point theory, we explore the new existence and uniqueness results of the solution for the proposed 2019-nCOV system. The existence result is obtained with the aid of the Krasnoselskii fixed point theorem while the uniqueness of the solution has been investigated by utilizing the Banach fixed point theorem. Furthermore, we study the generalized Hyers-Ulam stability as well as the generalized Hyers-Ulam-Rassias stability and also discuss some more interesting results for the proposed system.
摘要
本研究的主要目的是在Caputo意义下，针对新型冠状病毒（2019 - nCOV）系统提出一种新的具有可变Caputo - Fabrizio的变分数阶导数。通过使用不动点理论，我们探索了所提出的2019 - nCOV系统解的新的存在性和唯一性结果。存在性结果借助Krasnoselskii不动点定理获得，而解的唯一性则通过利用Banach不动点定理进行研究。此外，我们研究了广义Hyers - Ulam稳定性以及广义Hyers - Ulam - Rassias稳定性，并讨论了所提出系统的一些更有趣的结果。
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本文引用的文献
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