Computational Simulations for Solving a Class of Fractional Models via Caputo-Fabrizio Fractional Derivative

The aim of this paper is to investigate computational simulations for a class of fractional models via Caputo-Fabrizio fractional derivative with non-singular kernel. Analytical solution for a class of fractional models associated with Logistic model, Malthusian Growth model and Blood Alcohol model is presented graphically for various fractional orders and solution of corresponding classical model is recovered as a particular case. An unexpected behaviour of Caputo-Fabrizio fractional derivative is observed. We study the impact of order of the fractional derivative on the rate of variation for these fractional models.