## THERMAL SCIENCE

International Scientific Journal

### 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.

**KEYWORDS**

PAPER SUBMITTED: 2017-01-22

PAPER REVISED: 2017-09-27

PAPER ACCEPTED: 2017-09-27

PUBLISHED ONLINE: 2018-09-09

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**4**, PAGES [1723 - 1728]

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