Solitary wave solutions of Fitzhugh-Nagumo-type equations with conformable derivatives

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ÇEVİKEL A. C., Bekir A., Abu Arqub O., Abukhaled M.

FRONTIERS IN PHYSICS, cilt.10, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3389/fphy.2022.1028668
  • Dergi Adı: FRONTIERS IN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, Directory of Open Access Journals
  • Anahtar Kelimeler: exact solutions, conformable derivative, the Fitzhugh-Nagumo equation, solitary wave solution, solitons
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The Fitzhugh-Nagumo equation is an important non-linear 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 give solutions to the fractional Fitzhugh-Nagumo (FN) equation, the fractional Newell-Whitehead-Segel (NWS) equation, and the fractional Zeldovich equation. We found the exact solutions of these equations by conformable derivatives. We have obtained the exact solutions within the time-fractional conformable derivative for these equations.