Numerical Simulation of Parallel RLC Model Using Different Fractional Derivative Operators

In the current study, the theory of fractional calculus is applied to the electric parallel RLC circuit. The aim of this article is to alter the concept of a parallel RLC circuit by applying various fractional derivative operators. A fractional RLC circuit was investigated via Caputo, Caputo-Fabrizio, and Atangana-Baleanu derivatives. The Laplace transform technique was applied to resolve the system of governing differential equations. The results for the various orders are compared to each other. When the fractional order derivative tends to be one, the system\u27s performance is found to be very slow due to a decrease in damping capacity. The results for the various orders are compared to each other. When the fractional order derivative tends to be one, the system\u27s performance is found to be very slow due to a decrease in damping capacity. The results for the various orders are compared to each other. When the fractional order derivative tends to be one, the system\u27s performance is found to be very slow due to a decrease in damping capacity