New Exact Solutions of Fractional Fitzhugh-Nagumo Equation

Abstract

The main aim of this article is obtaining the travelling wave, solitary wave and periodicwave solutions for time fractional Fitzhugh-Nagumo equation which used as a model for reaction–diffusion, transmission of nerve impulses, circuit theory, biology and population genetics. The newextended direct algebraic method is employed for this aim. The fractional derivative is in conformablesense which is an applicable, well behaved and understandable definition.