Approximate analytic solution of the fractal Klein-Gordon equation-Reference-Cited by-同舟云学术

Approximate analytic solution of the fractal Klein-Gordon equation

Published:2021 Issue:2 Part B Volume:25 Page:1489-1494
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Sun Jian-She¹

Affiliation:

1. Institute of mathematics and interdisciplinary science, Jiaozuo Teacher’s College, Jiaozuo, P.R. China + School of Mathematics, Jiaozuo Teacher’s College, Jiaozuo, P.R. China + School of Mathematics, China University of Mining and Technology, Xuzhou, P.R. China

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.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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