Analysis and new simulations of fractional Noyes-Field model using Mittag-Leffler kernel

Abstract

In this manuscript, the fractional-in-time NoyesField model for Belousov-Zhabotinsky re- action transport is considered with a novel numerical technique, which was used to ap- proximate the Atangana-Baleanu (ABC) operator which models the subdiffusion partial derivative in time. The effect of the ABC operator is observed and captured more inter- esting physical behavior of some real-life phenomena. Applicability and suitability of the adopted method were carried out on some cases of nonlinear Belousov-Zhabotinsky sub- reaction-diffusion models, their dynamic behaviors with respect to fractional-order param- eters were displayed in figures.