Karaagac, BeratOwolabi, Kolade M.Pindza, Edson2023-02-082023-02-082022-09Karaagac, B., Owolabi, K.M., Pindza, E. 2022, 'Analysis and new simulations of fractional Noyes-field model using Mittag-Leffler kernel', Scientific African, vol. 17, art. e01384, pp. 1-17, doi : 10.1016/j.sciaf.2022.e01384.2468-227610.1016/j.sciaf.2022.e01384https://repository.up.ac.za/handle/2263/89339In 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.en© 2022 The Author(s). Published by Elsevier B.V. on behalf of African Institute of Mathematical Sciences / Next Einstein Initiative. This is an open access article under the CC BY-NC-ND license.Atangana-Baleanu operatorNumerical analysis and simulationPicard-Lindelof theoremStabilityArticle