TY - JOUR
TI - A variational principle for fractal Klein-Gordon equation
AU - Chen Qiaoling
JN - Thermal Science
PY - 2023
VL - 27
IS - 3
SP - 1803
EP - 1810
PT - Article
AB - 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.