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 reaction transport is considered with a novel numerical technique, which was used to approximate the Atangana-Baleanu (ABC) operator which models the subdiffusion partial derivative in time. The effect of the ABC operator is observed and captured more interesting 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 parameters were displayed in figures.

Keywords

• 26A33
• 65L05
• 65M06
• 93C10