A variational principle for fractal Klein-Gordon equation-Reference-Cited by-同舟云学术

A variational principle for fractal Klein-Gordon equation

Published:2023 Issue:3 Part A Volume:27 Page:1803-1810
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Chen Qiaoling¹

Affiliation:

1. Department of Basic Science, Zhengzhou Sheng Da University of Economics, Business and Management, Zhengzhou, Henan, China

Abstract

This paper studies the Klein-Gordon equation and two modifications in an infinite Cantor set and a fractal space-time. Their variational formulations are established and discussed, and the spatio-temporal discontinuity requires both spatio-fractal derivative and temporal fractal derivative for practical applications. Some basic properties of the local fractional derivative and the two-scale fractal derivative are elucidated, and the derivation of the Euler-Lagrange equation is illustrated.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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