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

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dc.contributor.author Karaagac, Berat
dc.contributor.author Owolabi, Kolade M.
dc.contributor.author Pindza, Edson
dc.date.accessioned 2023-02-08T10:49:19Z
dc.date.available 2023-02-08T10:49:19Z
dc.date.issued 2022-09
dc.description.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. en_US
dc.description.department Mathematics and Applied Mathematics en_US
dc.description.librarian am2023 en_US
dc.description.uri http://www.elsevier.com/locate/sciaf en_US
dc.identifier.citation Karaagac, 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. en_US
dc.identifier.issn 2468-2276
dc.identifier.other 10.1016/j.sciaf.2022.e01384
dc.identifier.uri https://repository.up.ac.za/handle/2263/89339
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.rights © 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. en_US
dc.subject Atangana-Baleanu operator en_US
dc.subject Numerical analysis and simulation en_US
dc.subject Picard-Lindelof theorem en_US
dc.subject Stability en_US
dc.title Analysis and new simulations of fractional Noyes-Field model using Mittag-Leffler kernel en_US
dc.type Article en_US


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