TY - JOUR
TI - Non-differentiable exact solutions of the local fractional Klein-Fock-Gordon equation on cantor sets
AU - Cheng Jun
AU - Yu Jian Sheng
AU - Wang Kang-Jia
JN - Thermal Science
PY - 2023
VL - 27
IS - 2
SP - 1653
EP - 1657
PT - Article
AB - Based on the local fractional derivative, a new local fractional  Klein-Fock-Gordon equation is derived in this paper for the first time. A  simple method namely Yang's special function method is used to seek for the  non-differentiable exact solutions. The whole calculation process strongly  shows that the proposed method is simple and effective, and can be applied  to investigate the non-differentiable exact solu­tions of the other local  fractional PDE.