Mathematical analysis of an extended SEIR model of COVID-19 using the ABC-fractional operator

This paper aims to suggest a time-fractional [Formula: see text] model of the COVID-19 pandemic disease in the sense of the Atangana–Baleanu–Caputo operator. The proposed model consists of six compartments: susceptible, exposed, infected (asymptomatic and symptomatic), hospitalized and recovered population. We prove the existence and uniqueness of solutions to the proposed model via fixed point theory. Furthermore, a stability analysis in the context of Ulam–Hyers and the generalized Ulam–Hyers criterion is also discussed. For the approximate solution of the suggested model, we use a well-known and efficient numerical technique, namely the Toufik–Atangana numerical scheme, which validates the importance of arbitrary order derivative [Formula: see text] and our obtained theoretical results. Finally, a concise analysis of the simulation is proposed to explain the spread of the infection in society.