Electrostatics in fractal geometry: Fractional calculus approach

Emmanuel Baskin and Alexander Iomin

Chaos, Solitons & Fractals, 2011, vol. 44, issue 4, 335-341

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:4:p:335-341

DOI: 10.1016/j.chaos.2011.03.002

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