The effect of the fractional derivative on the characteristics of some electrical phenomena

Abstract

This memory investigates the application of the Caputo-Fabrizio derivative for modeling and analyzing nonlinear electrical circuits. Traditional methods often struggle to accurately capture the complex dynamics of these systems, especially when dealing with memory effects and fractional-order behavior. The Caputo-Fabrizio derivative, a non-singular fractional derivative, offers a robust and efficient alternative for addressing these challenges. When employing the Caputo-Fabrizio derivative and applying it to nonlinear electrical circuits, the results demonstrated that optimal and systematic solutions are obtained when α → 1.