Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative
Shahram Alizadeh, Dumitru Bǎleanu, Shahram Rezapour
Abstract
Abstract In this paper, the transient response of the parallel RCL circuit with Caputo–Fabrizio derivative is solved by Laplace transforms. Also, the graphs of the obtained solutions for the different orders of the fractional derivatives are compared with each other and with the usual solutions. Finally, they are compared with practical and laboratory results.
Topics & Concepts
Laplace transformMathematicsTransient (computer programming)Fractional calculusDerivative (finance)Applied mathematicsOrdinary differential equationPartial differential equationTransient responseMathematical analysisDifferential equationComputer scienceEngineeringEconomicsOperating systemFinancial economicsElectrical engineeringFractional Differential Equations SolutionsAdvanced Control Systems DesignModel Reduction and Neural Networks