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关于分形分数阶新冠病毒19数学模型。

On fractal-fractional Covid-19 mathematical model.

作者信息

Khan Hasib, Ahmad Farooq, Tunç Osman, Idrees Muhammad

机构信息

Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, 18000, Khyber Pakhtunkhwa, Pakistan.

Department of Mathematics, Islamia College University, Peshawar, Khyber Pakhtunkhwa, Pakistan.

出版信息

Chaos Solitons Fractals. 2022 Apr;157:111937. doi: 10.1016/j.chaos.2022.111937. Epub 2022 Feb 25.

Abstract

In this article, we are studying a Covid-19 mathematical model in the fractal-fractional sense of operators for the existence of solution, Hyers-Ulam (HU) stability and computational results. For the qualitative analysis, we convert the model to an equivalent integral form and investigate its qualitative analysis with the help of iterative convergent sequence and fixed point approach. For the computational aspect, we take help from the Lagrange's interpolation and produce a numerical scheme for the fractal-fractional waterborne model. The scheme is then tested for a case study and we obtain interesting results.

摘要

在本文中,我们研究了一个关于新型冠状病毒肺炎(Covid-19)的数学模型,该模型是在算子的分形 - 分数意义下,用于研究解的存在性、赫尔斯 - 乌拉姆(Hyers - Ulam,HU)稳定性以及计算结果。对于定性分析,我们将模型转化为等价的积分形式,并借助迭代收敛序列和不动点方法研究其定性分析。对于计算方面,我们借助拉格朗日插值法,为分形 - 分数水传播模型生成一个数值格式。然后针对一个案例研究对该格式进行测试,我们得到了有趣的结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6498/9552777/3e0278d23b1f/gr1_lrg.jpg

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