Fractional Operators for Nonlinear Electrical Circuits
Abstract
This article introduces two new fractional operators with sine () and cosine () 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.