Qualitative analysis of fractal-fractional order COVID-19 mathematical model with case study of Wuhan

In this manuscript, a qualitative analysis of the mathematical model novel coronavirus (COVID-19) involving anew devised fractal-fractional operator in Caputo sense having fractional-order q and fractal dimension p is considered. The concerned composed eight compartments: susceptible, exposed, infected, super-spreaders, asymptomatic, hospitalized, recovery fatality. When, choosing order one we obtain fractional order, when system obtained. Considering both operators together present with fractal-fractional. Under new derivative existence uniqueness solution for considered are proved using Schaefer’s Banach type fixed point approaches. Additionally, help nonlinear functional analysis, condition Ulam’s stability to established. For numerical simulation proposed model, two-step Lagrange polynomial known as Adams-Bashforth (AB) method applied simulate results. At last, results tested real data from COVID-19 outbreak Wuhan City, Hubei Province China 4 January 9 March 2020, taken source (Ndaïrou, 2020). Numerical presented terms graphs different dimensions describe transmission dynamics disease infection.