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

Shao-Wen Yao, Muhammad Farman, AKGÃœL Ali, Kottakkaran Sooppy Nisar, Maryam Amin, Muhammad Umer Saleem and Mustafa Inc
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Shao-Wen Yao: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P. R. China
Muhammad Farman: ��Institute of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan§§Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, PC
AKGÜL Ali: ��Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon§Department of Mathematics, Art and Science Faculty, Siirt University, Siirt 56100, Turkey§§Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, PC
Kottakkaran Sooppy Nisar: �Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Maryam Amin: ��Department of Mathematics and Statistics, University of Lahore, Lahore 54590, Pakistan
Muhammad Umer Saleem: *Department of Mathematics, University of Education, Lahore, Pakistan
Mustafa Inc: ��†Department of Mathematics, Science Faculty, Firat University, Elazig, Turkey‡‡Department of Medical Research, China Medical University, Taichung, Taiwan

FRACTALS (fractals), 2023, vol. 31, issue 04, 1-21

Abstract: 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.

Keywords: COVID-19 Model; Stability; Power-Law; Exponential Law; Mittag-Leffler; Fractional Parameters (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400510

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DOI: 10.1142/S0218348X23400510

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