Abstract
The Maxwell equations play a fundamental role in the electromagnetic theory and lead to models useful in physics and engineering. This formalism involves integer-order differential calculus, but the electromagnetic diffusion points towards the adoption of a fractional calculus approach. This study addresses the skin effect and develops a new method for implementing fractional-order inductive elements. Two genetic algorithms are adopted, one for the system numerical evaluation and another for the parameter identification, both with good results.
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Tenreiro Machado, J.A., Galhano, A.M.S.F. Fractional order inductive phenomena based on the skin effect. Nonlinear Dyn 68, 107–115 (2012). https://doi.org/10.1007/s11071-011-0207-z
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DOI: https://doi.org/10.1007/s11071-011-0207-z