Shah, KamalSeadawy, AlyAlrabaiah, HussamBaleanu, DumitruDin, Anwarud02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-10-062025-09-182022-10-062025-09-182020Din, Anwarud...et al. (2020). "On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease", Results in Physics, Vol. 19.2211-3797https://doi.org/10.1016/j.rinp.2020.103510https://hdl.handle.net/123456789/11161Shah, Kamal/0000-0002-8851-4844; Seadawy, Aly R./0000-0002-7412-4773The 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.eninfo:eu-repo/semantics/openAccessThree Compartments ModelQualitative ResultsAdams-Bashforth (Ab) MethodNumerical SimulationsArticle10.1016/j.rinp.2020.1035102-s2.0-85096172983