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, vol.10, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10
  • Publication Date: 2022
  • Doi Number: 10.3389/fphy.2022.1028668
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, Directory of Open Access Journals
  • Keywords: exact solutions, conformable derivative, the Fitzhugh-Nagumo equation, solitary wave solution, solitons
  • Yıldız Technical University Affiliated: Yes


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.