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Generalized form of fractional order COVID-19 model with Mittag-Leffler kernel
Muhammad Aslam1, Muhammad Farman2, Ali Akgül3
1Department of Chemistry and Materials Science, Northwest University Key Laboratory of Synthetic and Natural Functional Molecule Chemistry of Ministry of Education Xi'an P.R China.
Abstract:
An important advantage of fractional derivatives is that we can formulate models describing much better systems with memory effects. Fractional operators with different memory are related to the different type of relaxation process of the nonlocal dynamical systems. Therefore, we investigate the COVID-19 model with the fractional derivatives in this paper. We apply very effective numerical methods to obtain the numerical results. We also use the Sumudu transform to get the solutions of the models. The Sumudu transform is able to keep the unit of the function, the parity of the function, and has many other properties that are more valuable. We present scientific results in the paper and also prove these results by effective numerical techniques which will be helpful to understand the outbreak of COVID-19.
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