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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.
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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 3, PAGES [773 - 777]
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