Retarded Potentials in Fractional Electrodynamics

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 take...

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Bibliographic Details
Published inMoscow University physics bulletin Vol. 75; no. 4; pp. 316 - 319
Main Authors Pskhu, A. V., Rekhviashvili, S. Sh
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.07.2020
Springer Nature B.V
Subjects
Electrodynamics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
retarded potentials
fractional integro-differentiation
classical electrodynamics
time dispersion
Lienard–Wiechert potentials
memory effect
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Summary: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.
ISSN:0027-1349
1934-8460
DOI:10.3103/S0027134920040098