Electrostatics in fractal geometry: Fractional calculus approach |
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| Authors: | Emmanuel Baskin Alexander Iomin |
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| Institution: | 1. Xi’an University of Technology, Xi’an, China;2. University of Nova Gorica, Nova Gorica, Slovenia;3. Slovenian Environment Agency, Ljubljana, Slovenia |
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| Abstract: | An electric field in a composite dielectric with a fractal charge distribution is obtained in the spherical symmetry case. The method is based on the splitting of a composite volume into a fractal volume Vd ～ rd with the fractal dimension d and a complementary host volume Vh = V3 ? Vd. Integrations over these fractal volumes correspond to the convolution integrals that eventually lead to the employment of the fractional integro-differentiation. |
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