Title of article :
On a Nonlinear Fractional-Order Model of COVID-19 Under AB-Fractional Derivative
Author/Authors :
Aydogan, S.M Istanbul Technical University , Hussain, A University of Sargodha , Sakar, F.M Dicle University
Abstract :
In this paper, we present a BOX mathematical model for
the release of COVID-19.We intend to generalize the model to fractional
order derivative in Atangana-Baleanu sense and to show the existence
of solution for the fractional model using Schaefer's xed point theorem
and for the uniqueness of solution we make use of Banach xed point
theorem. By using Shehu transform and Picard successive iterative
procedure, we explore the iterative solutions and its stability for the
considered fractional model. Given the beginning of a new wave of
COVID-19 spread in Indonesia, we present a numerical simulation to
study and predict the spread of the disease in this country.
Keywords :
Shehu transform , novel coronavirus (nCoV-2019) , Fractional Atangana Baleanu derivative
Journal title :
Journal of Mathematical Extension(IJME)