Advanced Fractional Calculus Approach to RC Electrical Circuit Modeling: Analytical Solutions and Comparative Behavioral Analysis
Yazarlar (3)
Dr. Öğr. Üyesi Enes Ata Bingöl Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Hacı Mehmet Başkonuş Harran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Analog Integrated Circuits and Signal Processing (Q4) | ||
| Dergi ISSN | 0925-1030 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2025 |
| Cilt / Sayı / Sayfa | 125 / 2 / – | DOI | 10.1007/s10470-025-02511-z |
| Makale Linki | https://doi.org/10.1007/s10470-025-02511-z | ||
| Özet |
| This paper introduces a novel fractional-order model of the classical RC electrical circuit by incorporating the generalized Caputo fractional derivative of order and a fractional time constant. Using generalized Laplace and inverse Laplace transform techniques, explicit analytical solutions of the proposed model are derived. The study also conducts a comparative analysis between the new fractional RC circuit model and existing models based on classical integer-order derivatives, Caputo, Caputo–Fabrizio, and conformable fractional operators. The results demonstrate that the proposed model offers improved flexibility and accuracy in capturing the memory-dependent dynamics characteristic of real electrical systems. This work contributes to the growing field of fractional calculus applications in electrical engineering by providing a more comprehensive framework for modeling and analysis of RC circuits with non-integer order behavior. |
| Anahtar Kelimeler |
| Electrical circuits | Fractional calculus | Generalized Laplace transform | Mathematical models | Mittag-Leffler function | Wright function |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Scopus | 1 |