Fractal RLC electrical circuits with fractal time

Khalili Golmankhaneh A., Banchuin R., Jørgensen P. E. T.

Nonlinear Dynamics, vol.114, no.9, 2026 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 114 Issue: 9
  • Publication Date: 2026
  • Doi Number: 10.1007/s11071-026-12564-y
  • Journal Name: Nonlinear Dynamics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
  • Keywords: Electrical circuits, Fractal calculus, Fractal capacitor, Fractal inductor, Fractal resistor, Fractal time, Non-integer order dynamics, RLC circuits
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, we investigate fractal capacitors, resistors, and inductors by incorporating fractal time into their governing equations and analyzing its effects on the charge and current of each component. The corresponding solutions are derived, and illustrative plots are provided to demonstrate the influence of fractal time on the dynamic behavior of these electrical elements.