## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Approximate analytic solution of the fractal Klein-Gordon equation

**ABSTRACT**

The linear and nonlinear Klein-Gordon equations(KGE) 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 (LFRDTM). 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

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