On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations.

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Tytuł :: On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations.
Autorzy :: Mohammad M; Zayed University, United Arab Emirates.
Trounev A; Kuban State Agrarian University, Russia.; Pokaż więcej
Źródło :: Chaos, solitons, and fractals [Chaos Solitons Fractals] 2020 Nov; Vol. 140, pp. 110171. Date of Electronic Publication: 2020 Jul 28.
Typ publikacji :: Journal Article
Język :: English
Imprint Name(s) :: Original Publication: Oxford ; New York : Pergamon Press, c1991-
References :: Chaos Solitons Fractals. 2020 Jun;135:109846. (PMID: 32341628)
Chaos Solitons Fractals. 2020 Jul;136:109860. (PMID: 32501371)
Contributed Indexing :: Keywords: Daubechies wavelet; Fractional differential equations; Mathematical model; Novel coronavirus; Tight frame
Entry Date(s) :: Date Created: 20200825 Latest Revision: 20201201
Update Code :: 20210301
PubMed Central ID :: PMC7386312
DOI :: 10.1016/j.chaos.2020.110171
PMID :: 32834652
: Czasopismo naukowe

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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.
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