THERMAL SCIENCE

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Jian-She Sun

APPROXIMATE ANALYTIC SOLUTION OF THE FRACTAL KLEIN-GORDON EQUATION

ABSTRACT
The linear and non-linear Klein-Gordon equations are considered. The fractional complex transform is used to convert the equations on a continuous space/time to fractals ones on Cantor sets, the resultant equations are solved by local fractional reduced differential transform method. Three examples are given to show the effectiveness of the technology.
KEYWORDS
fractal Klein-Gordon equation，approximate analytical solutions, fractional complex transform method, local fractional reduced differential transform method, local fractional derivative
PAPER SUBMITTED: 2020-03-01
PAPER REVISED: 2020-05-28
PAPER ACCEPTED: 2020-06-20
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200301051S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1489 - 1494]
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Approximate analytic solution of the fractal Klein-Gordon equation

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