AUTHOR=Cevikel Adem C. , Bekir Ahmet , Abu Arqub Omar , Abukhaled Marwan 

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

JOURNAL=Frontiers in Physics

VOLUME=Volume 10 - 2022

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.1028668

DOI=10.3389/fphy.2022.1028668

ISSN=2296-424X

ABSTRACT=The Fitzhugh-Nagumo equation is an important nonlinear reaction-di¤usion equation used to model the transmission of nerve impulses. This equation used in biology as population genetics, the Fitzhugh-Nagumo equation is also frequently used in circuit theory. In this study, we given 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 derivative. With this study, we have obtained new exact solutions within time fractional conformable derivative for these equations.