On a fractal RLC-parallel resonant circuit modeled within the local fractional derivative

Abstract

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-paral?lel 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 frac?tional order ? = 1. The obtained results show that the LFD is a powerful tool in the description of fractal circuit systems.