A fractional order diffusion-wave equation for time-dispersion media

被引：1
|
作者：
Bogolyubov, A. N. [1 ]
Koblikov, A. A. [1 ]
Smirnova, D. D. [1 ]
Shapkina, N. E. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 11999, Russia
来源：
MOSCOW UNIVERSITY PHYSICS BULLETIN | 2012年 / 67卷 / 05期
关键词：
fractal electrodynamics; fractional integrodifferentiation; media with memory; time dispersion;
D O I：
10.3103/S0027134912050037
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Electromagnetic fields in time-dispersion media with a power-law dependence on time are analyzed. It is shown that these media are fractal and their fractal dimension is determined. Equations for scalar and vector potentials are derived using analogues of Maxwell's equations for these types of media with the use of Caputo fractional derivatives. Electromagnetic fields in a bounded domain are numerically calculated for arbitrary functions of charge and current.
引用
收藏
页码：423 / 428
页数：6
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