Advanced Fractional Calculus Approach to RC Electrical Circuit Modeling: Analytical Solutions and Comparative Behavioral Analysis
Yazarlar (3)
Enes Ata Bingöl Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ Kırşehir Ahi Evran Üniversitesi, Türkiye
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 (Q3) | ||
| Dergi ISSN | 0925-1030 Dergi Bilgileri (2025) | ||
| 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 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| 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 | |
| Web of Science | 1 |
| Scopus | 2 |