Integro-Differential Charges and Currents Distribution on the Fractal Medium Topology
ZAPORIZHZHYA NATIONAL TECHNICAL UNIV (UKRAINE)
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We will consider the geometric and physical aspects that permit introduction of the so-called alpha-characteristics for studying the behavior of electromagnetic field components in the vicinity of a set of points with fractal properties. To estimate the alpha-characteristics possible algorithms are formulated namely a geometric one involving evaluation of the Hausdorff measure and an analytical algorithm permitting the Hausdorff measure to be evaluated through application of fractional derivatives and integrals.
- Electricity and Magnetism
- Theoretical Mathematics