An introduction to fractional calculus: Numerical methods and application to HF dielectric response

Autor:	Persechino, André
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis 26-02 (Primary) 26-08 (Secondary)
Zdroj:	Advanced Electromagnetics. 9, 1 (Feb. 2020), 19--30
Druh dokumentu:	Working Paper
DOI:	10.7716/aem.v9i1.1192
Popis:	The aim of this work is to introduce the main concepts of Fractional Calculus, followed by one of its application to classical electrodynamics, illustrating how non-locality can be interpreted naturally in a fractional scenario. In particular, a result relating fractional dynamics to high frequency dielectric response is used as motivation. In addition to the theoretical discussion, a comprehensive review of two numerical procedures for fractional integration is carried out, allowing one immediately to build numerical models applied to high frequency electromagnetics and correlated fields. Comment: 12 pages, 11 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.13163 Zobrazit plný text záznamu View this record from Arxiv