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On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations.
Chaos, Solitons & Fractals ( IF 7.8 ) Pub Date : 2020-07-28 , DOI: 10.1016/j.chaos.2020.110171
Mutaz Mohammad 1 , Alexander Trounev 2
Affiliation  

In this paper, we present a novel fractional order COVID-19 mathematical model by involving fractional order with specific parameters. The new fractional model is based on the well-known Atangana–Baleanu fractional derivative with non-singular kernel. The proposed system is developed using eight fractional-order nonlinear differential equations. The Daubechies framelet system of the model is used to simulate the nonlinear differential equations presented in this paper. The framelet system is generated based on the quasi-affine setting. In order to validate the numerical scheme, we provide numerical simulations of all variables given in the model.



中文翻译:

基于Datangchies框架仿真的涉及Atangana-Baleanu分数导数的COVID-19动力学建模。

在本文中,我们通过涉及具有特定参数的分数阶,提出了一种新颖的分数阶COVID-19数学模型。新的分数模型基于著名的具有非奇异核的Atangana-Baleanu分数导数。该系统是使用八个分数阶非线性微分方程开发的。该模型的Daubechies框架系统用于仿真本文提出的非线性微分方程。基于准仿射设置生成框架系统。为了验证数值方案,我们提供了模型中所有变量的数值模拟。

更新日期:2020-08-06
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