On a nonlinear fractional order model of novel coronavirus (nCoV-2019)
under AB-fractional derivative
Abstract
Utilizing the model of novel coronavirus given by Chen
{\it et al.} [A mathematical model for simulating the
phase-based transmissibility of a novel coronavirus, Infectious Diseases
of Poverty, (2020) 9:24], 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 fixed
point theorem and for the uniqueness of solution we make use of Banach
fixed point theorem. By using Shehu transform and Picard successive
iterative procedure, we explore the iterative solutions and its
stability for the considered fractional model.