Approximate analytic solution of the fractal Klein-Gordon equation

Approximate analytic solution of the fractal Klein-Gordon equation

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...

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Veröffentlicht in:Thermal science 2021, Vol.25 (2 Part B), p.1489-1494
1. Verfasser: Sun, Jian-She
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Exact solutions
Fractal analysis
Klein-Gordon equation
Mathematical analysis
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Beschreibung
Zusammenfassung: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.
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI200301051S