Fractal RLC electrical circuits with fractal time: Fractal RLC electrical circuits with fractal time

Alireza Khalili Golmankhaneh; Rawid Banchuin; Palle E. T. Jørgensen

doi:10.1007/s11071-026-12564-y

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$Fractal RLC electrical circuits with fractal time: Fractal RLC electrical circuits with fractal time$

Journal article

Peer reviewed

Fractal RLC electrical circuits with fractal time: Fractal RLC electrical circuits with fractal time

Alireza Khalili Golmankhaneh, Rawid Banchuin and Palle E. T. Jørgensen

Nonlinear dynamics, Vol.114(9), 676

05/08/2026

DOI: 10.1007/s11071-026-12564-y

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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.

Dynamical Systems

Physics

Applications of Nonlinear Dynamics and Chaos Theory

Classical Mechanics

Control

Physics and Astronomy

Statistical Physics and Dynamical Systems

Vibration

Details

Title: Subtitle: Fractal RLC electrical circuits with fractal time: Fractal RLC electrical circuits with fractal time
Creators: Alireza Khalili Golmankhaneh - Van Yüzüncü Yıl Üniversitesi
Rawid Banchuin - Siam University
Palle E. T. Jørgensen - University of Iowa
Resource Type: Journal article
Publication Details: Nonlinear dynamics, Vol.114(9), 676
DOI: 10.1007/s11071-026-12564-y
ISSN: 0924-090X
eISSN: 1573-269X
Publisher: Springer Netherlands
Language: English
Date published: 05/08/2026
Academic Unit: Mathematics
Record Identifier: 9985163542002771

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