THERMAL SCIENCE

International Scientific Journal

Yue HuORCID

,

Ji-Huan HeORCID

ON FRACTAL SPACE-TIME AND FRACTIONAL CALCULUS

ABSTRACT
This paper gives an explanation of fractional calculus in fractal space-time. On observable scales, continuum models can be used, however, when the scale tends to a smaller threshold, a fractional model has to be adopted to describe phenomena in micro/nano structure. A time-fractional Fornberg-Whitham equation is used as an example to elucidate the physical meaning of the fractional order, and its solution process is given by the fractional complex transform.
KEYWORDS
He's fractional derivative, Adomian's decomposition method, variational iteration method, exp-function method, fractional complex transform, fractional Fornberg-Whitham equation
PAPER SUBMITTED: 2015-09-10
PAPER REVISED: 2015-12-12
PAPER ACCEPTED: 2015-12-12
PUBLISHED ONLINE: 2016-08-13
DOI REFERENCE: https://doi.org/10.2298/TSCI1603773H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE No. 3, PAGES [773 - 777]
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On fractal space-time and fractional calculus

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