Exploration of new solitons solutions for the Fitzhugh-Nagumo-type equations with conformable derivatives
International Journal of Modern Physics B, cilt.37, sa.23, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 23
- Basım Tarihi: 2023
- Doi Numarası: 10.1142/s0217979223502247
- Dergi Adı: International Journal of Modern Physics B
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Anahtar Kelimeler: Exact solutions, conformable derivative, solitary wave solution
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
The Fitzhugh-Nagumo equation is an important nonlinear reaction-diffusion equation used to model the transmission of nerve impulses. This equation is used in biology as population genetics, the Fitzhugh-Nagumo equation is also frequently used in circuit theory. In this study, we gave solutions to the fractional Fitzhugh-Nagumo (FN) equation, the fractional Newell-Whitehead-Segel (NWS) equation, and the fractional Zeldovich equation. We have obtained exact solutions within time fractional conformable derivative for these equations.