THERMAL SCIENCE

International Scientific Journal

A SHORT REVIEW ON ANALYTICAL METHODS FOR FRACTIONAL EQUATIONS WITH HE'S FRACTIONAL DERIVATIVE

ABSTRACT
He's fractional derivative is adopted in this paper, and analytical methods for fractional differential equations are briefly reviewed, two modifications of the exp-function method, the generalized Kudryashov method and generalized exponential rational function method, are emphasized, and fractional Benjamin-Bona-Mahony equation with He's fractional derivative is used an example to elucidate the solution process.
KEYWORDS
PAPER SUBMITTED: 2016-05-13
PAPER REVISED: 2016-06-30
PAPER ACCEPTED: 2016-08-26
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI160513036W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE 4, PAGES [1567 - 1574]
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© 2017 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