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A DETAILED ANALYSIS OF COVID-19 MODEL WITH THE PIECEWISE SINGULAR AND NON-SINGULAR KERNELS
Keywords:
COVID-19, piecewise derivative, Caputo derivative, Atangana-Baleanu Caputo derivative, piecewise numerical technique.DOI:
https://doi.org/10.17654/0972361722049Abstract
In this article, we investigate the dynamics of COVID-19 with a new approach of piecewise global derivative in the sense of singular and non-singular kernels. The singular kernel operator is a Caputo derivative, whereas the non-singular operator is an Atangana-Baleanu Caputo operator. The said problem is investigated for the existence and uniqueness of a solution with a piecewise derivative. The approximate solution to the proposed problem has been obtained by the piecewise numerical iterative technique of Newton polynomials. The numerical scheme for piecewise derivatives in the sense of singular and non-singular kernels is also developed. The numerical simulation for the considered piecewise derivable problem has been drawn up against the available data for different fractional orders. This will be useful for easy understanding of the concept of piecewise global derivatives and the crossover problem dynamics.
Received: March 31, 2022
Revised: May 20, 2022
Accepted: June 14, 2022
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