Fractal RLC electrical circuits with fractal time

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

Nonlinear Dynamics, cilt.114, sa.9, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 114 Sayı: 9
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s11071-026-12564-y
  • Dergi Adı: Nonlinear Dynamics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: Electrical circuits, Fractal calculus, Fractal capacitor, Fractal inductor, Fractal resistor, Fractal time, Non-integer order dynamics, RLC circuits
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.