Open AccessApproximate analytic solution of the fractal Klein-Gordon equation
Author(s) -
Jian-She Sun
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci200301051s
Subject(s) - fractal , mathematical analysis , mathematics , space (punctuation) , klein–gordon equation , differential equation , linear differential equation , physics , computer science , nonlinear system , operating system , quantum mechanics
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.