SIMULATIONS AND ANALYSIS OF COVID-19 AS A FRACTIONAL MODEL WITH DIFFERENT KERNELS

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Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

World Scientific Publ Co Pte Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Recently, Atangana proposed new operators by combining fractional and fractal calculus. These recently proposed operators, referred to as fractal-fractional operators, have been widely used to study complex dynamics. In this paper, the COVID-19 model is considered via Atangana-Baleanu fractal-fractional operator. The Lyapunov stability for the model is derived for first and second derivative. Numerical results have developed through Lagrangian-piecewise interpolation for the different fractal-fractional operators. We develop numerical outcomes through different differential and integral fractional operators like power-law, exponential law, and Mittag-Leffler kernel. To get a better outcome of the proposed scheme, numerical simulation is made with different kernels having the memory effects with fractional parameters.

Açıklama

Anahtar Kelimeler

COVID-19 Model, Stability, Power-Law, Exponential Law, Mittag-Leffler, Fractional Parameters

Kaynak

Fractals-Complex Geometry Patterns and Scaling in Nature and Society

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

31

Sayı

4

Künye