Investigating A Nonlinear Dynamical Model of COVID-19 Disease Under Fuzzy Caputo, Random and ABC Fractional Order Derivative

Rahman, Mati ur; Arfan, Muhammad; Shah, Kamal; Gómez-Aguilar, J.F.

This paper is devoted to investigation of the fractional order fuzzy dynamical system, in our case, modeling the recent pandemic due to corona virus (COVID-19). The considered model is analyzed for exactness and uniqueness of solution by using fixed point theory approach. We have also provided the numerical solution of the nonlinear dynamical system with the help of some iterative method applying Caputo as well as Attangana-Baleanu and Caputo fractional type derivative. Also, random COVID-19 model described by a system of random differential equations was presented. At the end we have given some numerical approximation to illustrate the proposed method by applying different fractional values corresponding to uncertainty.