The RC Circuit Described by Local Fractional Differential Equations
Xiaohu Zhao, Yudong Zhang, Duan Zhao, Xiao‐Jun Yang · Fundamenta Informaticae · 2017
A non-differentiable resistor-capacitor circuit comprised of the capacitor and resistor in the fractal-time domain is first proposed in this article. The solution behavior of the corresponding local fractional ordinary differential equation is presented for the Mittag-Leffler decay defined on Canto r sets. The obtained results reveal the sufficiency of the local fractional calculus in the analysis of the fractal electrical systems.