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Symmetry
Volume 13
Issue 2
10.3390/sym13020243
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Article

On Convergence Analysis and Analytical Solutions of the Conformable Fractional Fitzhugh–Nagumo Model Using the Conformable Sumudu Decomposition Method

by
Suliman Alfaqeih
*,† and
Emine Mısırlı
†
Department of Mathematics, Faculty of Science, Ege University, Izmir 35040, Turkey
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Symmetry 2021, 13(2), 243; https://doi.org/10.3390/sym13020243
Submission received: 19 December 2020 / Revised: 21 January 2021 / Accepted: 23 January 2021 / Published: 1 February 2021
(This article belongs to the Section B: Mathematics)
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Abstract

The current article studied a nonlinear transmission of the nerve impulse model, the Fitzhugh–Nagumo (FN) model, in the conformable fractional form with an efficient analytical approach based on a combination of conformable Sumudu transform and the Adomian decomposition method. Convergence analysis and error analysis were also carried out based on the Banach fixed point theory. We also provided some examples to support our results. The results obtained revealed that the presented approach is very fantastic, effective, reliable, and is an easy method to handle specific problems in various fields of applied sciences and engineering. The Mathematica software carried out all the computations and graphics in this paper.
Keywords: conformable fractional derivative; Sumudu transform; Adomian decomposition method; partial differential equations conformable fractional derivative; Sumudu transform; Adomian decomposition method; partial differential equations

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MDPI and ACS Style

Alfaqeih, S.; Mısırlı, E. On Convergence Analysis and Analytical Solutions of the Conformable Fractional Fitzhugh–Nagumo Model Using the Conformable Sumudu Decomposition Method. Symmetry 2021, 13, 243. https://doi.org/10.3390/sym13020243

AMA Style

Alfaqeih S, Mısırlı E. On Convergence Analysis and Analytical Solutions of the Conformable Fractional Fitzhugh–Nagumo Model Using the Conformable Sumudu Decomposition Method. Symmetry. 2021; 13(2):243. https://doi.org/10.3390/sym13020243

Chicago/Turabian Style

Alfaqeih, Suliman, and Emine Mısırlı. 2021. "On Convergence Analysis and Analytical Solutions of the Conformable Fractional Fitzhugh–Nagumo Model Using the Conformable Sumudu Decomposition Method" Symmetry 13, no. 2: 243. https://doi.org/10.3390/sym13020243

APA Style

Alfaqeih, S., & Mısırlı, E. (2021). On Convergence Analysis and Analytical Solutions of the Conformable Fractional Fitzhugh–Nagumo Model Using the Conformable Sumudu Decomposition Method. Symmetry, 13(2), 243. https://doi.org/10.3390/sym13020243

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