Abstract
Recently, 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.
| Original language | English |
|---|---|
| Article number | 2340051 |
| Journal | Fractals |
| Volume | 31 |
| Issue number | 4 |
| DOIs | |
| State | Published - 15 Apr 2023 |
Keywords
- COVID-19 Model
- Exponential Law
- Fractional Parameters
- Mittag-Leffler
- Power-Law
- Stability