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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.
PAPER REVISED: 2020-05-28
PAPER ACCEPTED: 2020-06-20
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THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1489 - 1494]
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