The New Travelling Wave Solutions of Time Fractional Fitzhugh-Nagumo Equation with Sine-Gordon Expansion Method

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Tarih

2020

Dergi Başlığı

Dergi ISSN

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Yayıncı

Adiyaman University

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Authors aimed to employ the sine-Gordon expansion method to acquire the new exact solutions of fractional Fitzhugh-Nagumo equation which is a stripped type of the Hodgkin-Huxley model that expresses in extensive way activation and deactivation dynamics of neuron spiking. By using the wave transformations, by the practicality of chain rule and applicability of the conformable fractional derivative, the fractional nonlinear partial differential equation (FNPDE) changes to a nonlinear ordinary differential equation. So the exact solution of the considered equation can be obtained correctly with the aid of efficient and reliable analytical techniques. © 2020, Adiyaman University. All rights reserved.

Açıklama

Anahtar Kelimeler

Conformable derivative, Fitzhugh-Nagumo Equation, Sine-Gordon expansion method

Kaynak

Adiyaman University Journal of Science

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

10

Sayı

1

Künye