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