A novel mathematical model for monkeypox using variable-order Liouville–Caputo fractional derivatives

In this article, we study a nonlinear model of monkeypox using variable-order V1-type and V2-type Liouville–Caputo fractional derivatives. We prove the existence and uniqueness of the solution for the proposed model. We derive the numerical solution by using a recent predictor-corrector method. We provide graphical analysis for the proposed numerical simulations of the monkeypox model. The given numerical methodology and the dynamical outputs obtained at different fractional orders add significant novelty to the proposed monkeypox model.