Yao, Shao-wenFarman, MuhammadAkgul, AliNisar, Kottakkaran SooppyAmin, MaryamSaleem, Muhammad UmerInc, Mustafa2024-12-242024-12-2420230218-348X1793-6543https://doi.org/10.1142/S0218348X23400510https://hdl.handle.net/20.500.12604/7217Recently, Atangana proposed new operators by combining fractional and fractal calculus. These recently proposed operators, referred to as fractal-fractional operators, have been widely used to study complex dynamics. In this paper, the COVID-19 model is considered via Atangana-Baleanu fractal-fractional operator. The Lyapunov stability for the model is derived for first and second derivative. Numerical results have developed through Lagrangian-piecewise interpolation for the different fractal-fractional operators. We develop numerical outcomes through different differential and integral fractional operators like power-law, exponential law, and Mittag-Leffler kernel. To get a better outcome of the proposed scheme, numerical simulation is made with different kernels having the memory effects with fractional parameters.eninfo:eu-repo/semantics/closedAccessCOVID-19 ModelStabilityPower-LawExponential LawMittag-LefflerFractional ParametersArticle314Q1WOS:000988819700001Q12-s2.0-8516093847810.1142/S0218348X23400510