arXiv Open Access 2025

Fractional Operators for Nonlinear Electrical Circuits

Ioannis Dassios

Lihat Sumber

Abstrak

This article introduces two new fractional operators with sine ($\sin$) and cosine ($\cos$) kernels, motivated by their fundamental role in modeling AC signals in electrical circuits. The operators are designed to improve the analysis of nonlinear components such as the memristor by transforming certain nonlinear equations into simpler linear forms, particularly in systems with memory effects.

Topik & Kata Kunci

math.OC

Penulis (1)

Ioannis Dassios

Format Sitasi

APA MLA BibTeX

Dassios, I. (2025). Fractional Operators for Nonlinear Electrical Circuits. https://arxiv.org/abs/2507.02220

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓