Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative

Abstract

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.

An optimal control analysis of a COVID-19 model

“…[6] , [7] , [15] , [16] , [17] , [28] , [35] , [36] , [37] , [38] , [39] , [40] , [41] , [42] , [43] , [44]…”

On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic

“…Definition 1 ( [12,13]). Let Λ ∶ ℝ → [0, 1] be a fuzzy set of the real line satisfies the following conditions:…”

“…Then, it is called a fuzzy number. Definition 2 ( [12,13]). On a fuzzy number Λ , the -level set is defined by where ∈ (0, 1] and h ∈ ℝ.…”

Modeling and analysis of the dynamics of novel coronavirus (COVID-19) with Caputo fractional derivative

“…The dynamics of (2019-nCoV) fractional derivative to explore the situation of the pandemic in Wuhan is studied by Khan and Atangana [19] . Some other work about the mathematical models and its applications to fractional operators can be seen in [28] , [36] , [21] , [6] , [7] , [23] , [18] .The authors in [28] considered a mathematical model for hepatitis C in fractional derivative and examined its results. The CoVID-19 model and its dynamical analysis using fuzzy Caputo differential equation is considered in [36] .…”