Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation

Sinan Deniz

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: In this study, a modified fractional form of FitzHugh-Nagumo equation is investigated via a newly developed semi-analytical method. The classical equation has been modified with a new fractional operator and the optimal perturbation iteration algorithms have been adapted accordingly for solving the fractional model. An illustration has been deeply analyzed for different values of physical parameters. Figures and tables are given to show the errors of different order approximations. Obtained results prove the accuracy and effectiveness of the proposed technique.

Keywords: Optimal perturbation iteration method; Fractional Fitzhugh-Nagumo equation; Atangana–Baleanu derivative (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308109

DOI: 10.1016/j.chaos.2020.110417

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