TY - JOUR
TI - On a fractal RLC-parallel resonant circuit modeled within the local fractional derivative
AU - Tian Yu
AU - Geng Wen-Bo
AU - Wang Shao-Hui
AU - Wang Kang-Jia
JN - Thermal Science
PY - 2024
VL - 28
IS - 4
SP - 3505
EP - 3510
PT - Article
AB - In recent years, the theory of local fractional calculus has been widely used  in the description of the fractional circuits. This paper presents a fractal  RLC-paral­lel resonant circuit (FRLC-PRC) using the local fractional  derivative (LFD). The FRLC-PRC is modeled by studying the non-differentiable  (ND) lumped elements, then the ND conductance is obtained with the help of  the local fractional Laplace transform (LFLT) and the ND parallel-resonant  angular frequency (ND PRAF) is analyzed. It is found that the FRLC-PRC  becomes the ordinary one when the frac­tional order δ = 1. The obtained  results show that the LFD is a powerful tool in the description of fractal  circuit systems.