## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2020-03-01

PAPER REVISED: 2020-05-28

PAPER ACCEPTED: 2020-06-20

PUBLISHED ONLINE: 2021-01-31

**THERMAL SCIENCE** YEAR

**2021**, VOLUME

**25**, ISSUE

**Issue 2**, PAGES [1489 - 1494]

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