University of Tabriz Computational Methods for Differential Equations 2345-3982 13 2 2025 03 01 Modeling and simulation of COVID-19 disease dynamics via Caputo-Fabrizio fractional derivative 494 504 17871 10.22034/cmde.2024.59569.2539 EN Sanjay Bhatter Department of Mathematics, Malaviya National Institute of Technology Jaipur, India. Bhamini Bhatia Department of Mathematics, Malaviya National Institute of Technology Jaipur, India. Sangeeta Kumawat Department of Mathematics, Malaviya National Institute of Technology Jaipur, India. Sunil Dutt Purohit 1. Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India. 2. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon. Journal Article 2023 12 12 The motive of this paper is to investigate the SEIQRD model of the COVID-19 outbreak in Indonesia with the help of a fractional modeling approach. The model is described by the nonlinear system of six fractional order differential equations (DE) incorporating the Caputo-Fabrizio Fractional derivative (CFFD) operator. The existence and uniqueness of the model are proved by applying the well-known Banach contraction theorem. The reproduction number ($R_0$) is calculated, and its sensitivity analysis is conducted concerning each parameter of the model for the prediction and persistence of the infection. Moreover, the numerical simulation for various fractional orders is performed using the Adams-Bashforth technique to analyze the transmission behavior of disease and to get the approximated solutions. At last, we represent our numerical simulation graphically to illustrate our analytical findings. https://cmde.tabrizu.ac.ir/article_17871_bedebbe84e8f026de70a196749374988.pdf