Maxwell’s Equations on Cantor Sets: A Local Fractional Approach
Open Access
- 19 November 2013
- journal article
- research article
- Published by Hindawi Limited in Advances in High Energy Physics
- Vol. 2013, 1-6
- https://doi.org/10.1155/2013/686371
Abstract
Maxwell’s equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell’s equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. Local fractional differential forms of Maxwell’s equations on Cantor sets in the Cantorian and Cantor-type cylindrical coordinates are obtained. Maxwell's equations on Cantor set with local fractional operators are the first step towards a unified theory of Maxwell’s equations for the dynamics of cold dark matter.Keywords
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