Fractional order mathematical modeling of novel corona virus (COVID-19)

Math Methods Appl Sci. 2021 Feb 3:10.1002/mma.7241. doi: 10.1002/mma.7241. Online ahead of print.

Abstract

In this manuscript, the mathematical model of COVID-19 is considered with eight different classes under the fractional-order derivative in Caputo sense. A couple of results regarding the existence and uniqueness of the solution for the proposed model is presented. Furthermore, the fractional-order Taylor's method is used for the approximation of the solution of the concerned problem. Finally, we simulate the results for 50 days with the help of some available data for fractional differential order to display the excellency of the proposed model.

Keywords: Caputo derivative; approximation; coronavirus (COVID‐19); existence and uniqueness.