Some appropriate results for the existence theory and numerical solutions of fractals–fractional order malaria disease mathematical model

Abstract

Investigation of a mathematical model of malaria is considered in this manuscript. The concerned problem is investigated via Caputo–Fabrizio fractal fractional derivative. We derive the necessary conditions for the existence and uniqueness of solution for the proposed model of malaria. A powerful numerical procedure called Adams–Bashforth method is utilized for the simulations of our results. The considered technique is an excellent mathematical tool which is more efficient than the Euler and RK4 method. To discuss the dynamics of considered model, we provided the graphical presentations of our results by using various fractals and fractional orders values.