Fractional derivatives and the laws of electrical engineering

Purpose This paper aims to evaluate the possibilities of fractional calculus application in electrical circuits and magnetic field theories. Design/methodology/approach The analysis of mathematical notation is used for physical phenomena description. The analysis aims to challenge or prove the corre...

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Veröffentlicht in:Compel 2018-10, Vol.37 (4), p.1384-1391
Hauptverfasser: Sikora, Ryszard, Pawłowski, Stanislaw
Format: Artikel
Sprache:eng
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Zusammenfassung:Purpose This paper aims to evaluate the possibilities of fractional calculus application in electrical circuits and magnetic field theories. Design/methodology/approach The analysis of mathematical notation is used for physical phenomena description. The analysis aims to challenge or prove the correctness of applied notation. Findings Fractional calculus is sometimes applied correctly and sometimes erroneously in electrical engineering. Originality/value This paper provides guidelines regarding correct application of fractional calculus in description of electrical circuits’ phenomena. It can also inspire researchers to find new applications for fractional calculus in the future.
ISSN:0332-1649
2054-5606
DOI:10.1108/COMPEL-08-2017-0347