Frontiers in Energy Research (Mar 2022)

Electrical Circuits Described by General Fractional Conformable Derivative

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

DOI
https://doi.org/10.3389/fenrg.2022.851070
Journal volume & issue
Vol. 10

Abstract

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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.

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