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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 9 Sayı: 3

New Exact Solutions of Fractional Fitzhugh-Nagumo Equation

Kesirli Fitzhugh-Nagumo Denkleminin Yeni Tam Çözümleri

Orkun Tasbozan(MUSTAFA KEMAL ÜNİVERSİTESİ)0000-0001-5003-6341
Ali Kurt(MUSTAFA KEMAL ÜNİVERSİTESİ)0000-0002-0617-6037
Pages
1633–1645
Publication Date
2019-09-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The fractional derivative is in conformable sense which is an applicable, well behaved and understandable definition.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main aim of this article is obtaining the travelling wave, solitary wave and periodic wave solutions for time fractional Fitzhugh-Nagumo equation which used as a model for reaction–diffusion, transmission of nerve impulses, circuit theory, biology and population genetics.
📊
Key Findings & Data:The new extended direct algebraic method is employed for this aim.
💡
Conclusion & Impact:The fractional derivative is in conformable sense which is an applicable, well behaved and understandable definition.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Conformable Kesirli Türev · Yeni Genişletilmiş Direk Cebirsel Yöntem · Direk Cebirsel Yöntem

Abstract

The main aim of this article is obtaining the travelling wave, solitary wave and periodic wave solutions for time fractional Fitzhugh-Nagumo equation which used as a model for reaction–diffusion, transmission of nerve impulses, circuit theory, biology and population genetics. The new extended direct algebraic method is employed for this aim. The fractional derivative is in conformable sense which is an applicable, well behaved and understandable definition.

Özet

Bu makaledeki ana amaç, reaksiyon difüzyon, sinir sinyallerinin yayılımında, devre teorisi, biyoloji ve popülasyon genetiği modeli olarak kullanılan zaman kesirli Fitzhugh-Nagumo denkleminin hareketli dalga, soliter dalga ve periyodik dalga çözümlerini elde etmektir. Bu amaç için yeni genişletilmiş direkt cebirsel yöntem kullanılmıştır. Kesirli türev ifadesi uygulanabilir, iyi tanımlı ve anlaşılabilir bir tanım olan conformable türündendir.

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Cite This Article

Tasbozan, O., Kurt, A. (2019). New Exact Solutions of Fractional Fitzhugh-Nagumo Equation. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 9 Sayı: 3, 1633–1645. https://ajindex.com/articles/1272646

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