An introduction to fractional calculus: Numerical methods and application to HF dielectric response
Numerical Analysis
2021-08-31 v1 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2108.13163,
title = {An introduction to fractional calculus: Numerical methods and application to HF dielectric response},
author = {André Persechino},
journal= {arXiv preprint arXiv:2108.13163},
year = {2021}
}
Comments
12 pages, 11 figures