THERMAL SCIENCE

International Scientific Journal

Yan Wang

,

Yu-Feng Zhang

,

Jian-Gen Liu

,

Muhammad Iqbal

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
He’s fractional derivative, generalized Kudryashov method, generalized exponential rational function method, fractional Benjamin-Bona-Mahony equation
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 Issue 4, PAGES [1567 - 1574]
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A short review on analytical methods for fractional equations with he's fractional derivative

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, 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