A fractional order diffusion-wave equation for time-dispersion media |
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| Authors: | A N Bogolyubov A A Koblikov D D Smirnova N E Shapkina |
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| Institution: | 1. Department of Mathematics, Faculty of Physics, Moscow State University, Moscow, 11999, Russia
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| Abstract: | 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. |
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