Fractional derivatives and the laws of electrical engineering

Abstract

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.

Citation

Sikora, R. and Pawłowski, S. (2018), "Fractional derivatives and the laws of electrical engineering", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 37 No. 4, pp. 1384-1391. https://doi.org/10.1108/COMPEL-08-2017-0347