Electrical Circuits Described by General Fractional Conformable Derivative
Open Access
- 28 March 2022
- journal article
- research article
- Published by Frontiers Media SA in Frontiers in Energy Research
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.Keywords
This publication has 38 references indexed in Scilit:
- On conformable fractional calculusJournal of Computational and Applied Mathematics, 2015
- Positive Fractional Electrical CircuitsPublished by Springer Science and Business Media LLC ,2015
- A new definition of fractional derivativeJournal of Computational and Applied Mathematics, 2014
- A Review of Definitions for Fractional Derivatives and IntegralMathematical Problems in Engineering, 2014
- RLC electrical circuit of non-integer orderOpen Physics, 2013
- RC models of a constant phase elementInternational Journal of Circuit Theory and Applications, 2011
- On Riemann-Liouville and Caputo DerivativesDiscrete Dynamics in Nature and Society, 2011
- Capacitor theoryIEEE Transactions on Dielectrics and Electrical Insulation, 1994
- The fractional diffusion equationJournal of Mathematical Physics, 1986
- A new dissipation model based on memory mechanismPure and Applied Geophysics, 1971