Abstract

A general expression is obtained for retarded potentials for a system of equations of macroscopic electrodynamics with fractional Caputo derivatives with respect to time. An analog of the Lienard–Wiechert potentials is obtained. All expressions contain a nonlocal (time-distributed) delay, which takes the temporal dispersion in the system into account.

中文翻译：

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分数电动力学中的缓电位

摘要

对于具有时间的分数Caputo导数的宏观电动力学方程组，获得了延迟电势的一般表达式。获得了Lienard–Wiechert势的类似物。所有表达式都包含一个非本地（时间分布）延迟，该延迟考虑了系统中的时间分散。