Exploration of new solitons solutions for the Fitzhugh–Nagumo-type equations with conformable derivatives
Adem C. Çevikel, Ahmet Bekir, Özkan Güner
Abstract
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.
Topics & Concepts
Conformable matrixFractional calculusNonlinear systemType (biology)Reaction–diffusion systemPhysicsPopulationMathematical physicsMathematical analysisMathematicsQuantum mechanicsSociologyBiologyEcologyDemographyFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems