THERMAL SCIENCE

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Li-Mei Yan

,

Feng-Sheng Xu

GENERALIZED EXP-FUNCTION METHOD FOR NON-LINEAR SPACE-TIME FRACTIONAL DIFFERENTIAL EQUATIONS

ABSTRACT
A generalized exp-function method is proposed to solve non-linear space-time fractional differential equations. The basic idea of the method is to convert a fractional partial differential equation into an ordinary equation with integer order derivatives by fractional complex transform. To illustrate the effectiveness of the method, space-time fractional asymmetrical Nizhnik-Novikor-Veselov equation is considered. The fractional derivatives in the present paper are in Jumarie’s modified Riemann-Liouville sense.
KEYWORDS
generalized exp-function method, non-linear space-time fractional differential equation, modified Riemann-Liouville derivative, asymmetrical Nizhnik-Novikor-Veselov equation
PAPER SUBMITTED: 2014-03-08
PAPER REVISED: 2014-05-12
PAPER ACCEPTED: 2014-07-02
PUBLISHED ONLINE: 2015-01-04
DOI REFERENCE: https://doi.org/10.2298/TSCI1405573Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 5, PAGES [1573 - 1576]
REFERENCES
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Generalized exp-function method for non-linear space-time fractional differential equations

© 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