Electromagnetic fields in fractal continua

AS Balankin, B Mena, J Patiño, D Morales - Physics Letters A, 2013 - Elsevier
Fractal continuum electrodynamics is developed on the basis of a model of three-
dimensional continuum ΦD3⊂ E3 with a fractal metric. The generalized forms of Maxwell
equations are derived employing the local fractional vector calculus related to the Hausdorff
derivative. The difference between the fractal continuum electrodynamics based on the
fractal metric of continua with Euclidean topology and the electrodynamics in fractional
space Fα accounting the fractal topology of continuum with the Euclidean metric is outlined …
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