The New Travelling Wave Solutions of Time Fractional Fitzhugh-Nagumo Equation with Sine-Gordon Expansion Method
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Dosyalar
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
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