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.

翻译：这项工作的目的是介绍小数点计算的主要概念,然后将其应用于古典电动学,说明如何在分数假设中自然地解释非局部性,特别是将分数动态与高频电离反应相联系的结果用作动机,除了理论讨论外,还全面审查了两个分数整合的数值程序,使一个程序能够立即建立适用于高频电磁和相关领域的数值模型。