关于COVID-19疫情的模糊CF变量分数阶微分方程的存在性与稳定性
On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic.
作者信息
Verma Pratibha, Kumar Manoj
机构信息
Prayagraj, 211004 Uttar Pradesh India Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad.
出版信息
Eng Comput. 2022;38(Suppl 2):1053-1064. doi: 10.1007/s00366-021-01296-9. Epub 2021 Feb 9.
In this paper, we convert the recent COVID-19 model with the use of the most influential theories, such as variable fractional calculus and fuzzy theory. We propose the fuzzy variable fractional differential equation for the COVID-19 model in which the variable fractional-order derivative is described using the Caputo-Fabrizio in the Caputo sense. Furthermore, we provide the results on the existence and uniqueness using Lipschitz conditions. Also, discuss the stability analysis of the present new COVID-19 model by employing Hyers-Ulam stability.
在本文中，我们运用诸如变分数阶微积分和模糊理论等最具影响力的理论对近期的新冠病毒疾病（COVID - 19）模型进行转换。我们针对COVID - 19模型提出了模糊变分数阶微分方程，其中变分数阶导数在Caputo意义下使用Caputo - Fabrizio进行描述。此外，我们利用Lipschitz条件给出了关于存在性和唯一性的结果。同时，通过运用Hyers - Ulam稳定性来讨论当前新型COVID - 19模型的稳定性分析。
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