Din, AnwarudShah, KamalSeadawy, AlyAlrabaiah, HussamBaleanu, Dumitru2022-10-062022-10-062020Din, Anwarud...et al. (2020). "On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease", Results in Physics, Vol. 19.2211-3797http://hdl.handle.net/20.500.12416/5800The present paper describes a three compartment mathematical model to study the transmission of the current infection due to the novel coronavirus (2019-nCoV or COVID-19). We investigate the aforesaid dynamical model by using Atangana, Baleanu and Caputo (ABC) derivative with arbitrary order. We derive some existence results together with stability of Hyers-Ulam type. Further for numerical simulations, we use Adams–Bashforth (AB) method with fractional differentiation. The mentioned method is a powerful tool to investigate nonlinear problems for their respective simulation. Some discussion and future remarks are also given. © 2020 The Author(s)eninfo:eu-repo/semantics/openAccessAdams–Bashforth (AB) MethodNumerical SimulationsQualitative ResultsThree Compartments ModelArticle1910.1016/j.rinp.2020.103510