THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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
DOI REFERENCE: https://doi.org/10.2298/TSCI1804723W
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE 4, PAGES [1723 - 1728]
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