Solving time-space fractional Fitzhugh-Nagumo equation by using He-Laplace decomposition method

Abstract

This paper proposes a new method to solve fractional differential equations, which takes full advantages of He?s homotopy perturbation, Laplace transform, and He?s polynomials and it is named as He-Laplace decomposition method. The time-space fractional Fitzhugh-Nagumo equation is used as example to elucidate the solution process, and the obtained results are of high accuracy. The new method sheds a new light on analytical approach to fractional calculus.