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An approach to introducing fractional integro-differentiation in classical electrodynamics |
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| Authors: | A N Bogolyubov A A Potapov and S Sh Rehviashvili |
| Institution: | 1.Faculty of Physics Department of Mathematics,Moscow State University,Moscow,Russia;2.Institute of Radio Engineering and Electronics,Russian Academy of Sciences,Moscow,Russia;3.Kabardino-Balkaria State University,Nalchik,Russia |
| Abstract: | Analogs for Maxwell’s equations with fractional derivatives are obtained using the concepts of an effective current and the velocity of a charged particle in a medium. The calibration invariance is considered and a diffusion-wave equation is found and analyzed for scalar and vector potentials. It is shown that the stochastic nature of charged particle motion in a medium influences the dynamics of an electromagnetic field. |
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