Electrical Circuits Described by General Fractional Conformable Derivative

Omar Kahouli, Mourad Elloumi, Omar Naifar, Haitham Alsaif, Bassem Kahouli, Yassine Bouteraa

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The general fractional conformable derivative (GCD) and its attributes have been described by researchers in the recent times. Compared with other fractional derivative definitions, this derivative presents a generalization of the conformable derivative and follows the same derivation formulae. For electrical circuits, such as RLC, RC, and LC, we obtain a new class of fractional-order differential equations using this novel derivative, The use of GCD to depict electrical circuits has been shown to be more adaptable and lucrative than the usual conformable derivative.

Original languageEnglish
Article number851070
JournalFrontiers in Energy Research
Volume10
DOIs
StatePublished - 28 Mar 2022

Keywords

  • conformable derivative
  • electrical LC circuit
  • electrical RC circuit
  • electrical RLC circuits
  • general fractional conformable derivative

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