Investigation of time-fractional mathematical model of COVID-19 with nonsingular kernel

Abstract In this article, a mathematical model of COVID-19 is investigated using the Atangana–Baleanu in sense of Caputo fractional operator. Mathematical analysis and modeling has led the results (allow policymakers to understand and predicts the dynamics of infectious disease under several different scenarios) about various nonpharmaceutical involvements to restrict the spread of pandemic disease worldwide. The present investigation meant to study worldwide research activity on mathematical modeling of spread and control of several infectious diseases with a known history of serious outbreaks. The existence of a unique solution is studied using a fixed point theorems. The stability of the solution is carried out through the concept of Ulam–Hyers stability. The considered model is computationally analyzed through the Adams–Bashforth technique. A fresh investigation with the proposed epidemic model is brought and the obtain results are define using plots which shows the performance of the classes of the consider model. The results show that the proposed scheme is very insistent and obvious to operate for the system of nonlinear equations. One can see a quick stability of all the compartments as the order decrease to noninteger values as compared to integer-order θ = 1. All theoretical results are simulated and validated through numerical simulations.