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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
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE 4, PAGES [1723 - 1728]
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© 2018 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence