Analysis of fractal-fractional malaria transmission model

Abstract

In this paper, the malaria transmission (MT) model under control strategies is considered using the Liouville-Caputo fractional order (FO) derivatives with exponential decay law and power-law. For the solutions we are using an iterative technique involving Laplace transform. We examined the uniqueness and existence (UE) of the solutions by applying the fixed-point theory. Also, fractal-fractional operators that include power-law and exponential decay law are considered. Numerical results of the MT model are obtained for the particular values of the FO derivatives and ρ.