On the new travelling wave solution of a neural communication model

Abstract

The aim of this study is to present some new travelling wave solutions of conformable time-fractional Fitzhugh–Nagumo equation that model the transmission of nerve impulses.  For this purpose, the improved Bernoulli sub-equation function method has been used.  The obtained results are shown by way of the the 3D-2D graphs and contour surfaces for the suitable values.

Keywords

• Time-Fractional Fitzhugh–Nagumo equation,conformable fractional derivative,travelling wave solutions

Bir sinirsel iletişim modelinin yeni salınımlı dalga çözümleri üzerinde

Abstract

Bu çalışmanın amacı, sinir uyarılarının iletişimini modelleyen uyumlu zaman-kesirli türevli Fitzhugh–Nagumo denkleminin bazı yeni salınımlı dalga çözümlerini sunmaktır.  Bu amaçla, geliştirilmiş Bernoulli alt denklem fonksiyon metodu kullanılmıştır.  Elde edilen çözümler uygun değerler için 2-3 boyutlu grafikler ve kontur yüzeyleri ile gösterilmiştir. 

Keywords

• Zaman-kesirli türevli Fitzhugh–Nagumo denklemi,uyumlu kesirli türev,salınımlı dalga çözümleri

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