Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
Amal Alshabanat, Mohamed Jleli, Sunil Kumar, Bessem Samet
Abstract
A new fractional derivative with a non-singular kernel involving exponential and trigonometric functions is proposed in this paper. The suggested fractional operator includes as a special case Caputo-Fabrizio fractional derivative. Theoretical and numerical studies of fractional differential equations involving this new concept are presented. Next, some applications to RC-electrical circuits are provided.
Topics & Concepts
Fractional calculusTrigonometryGeneralizationMathematicsExponential functionDerivative (finance)Electronic circuitOperator (biology)Mathematical analysisElectrical networkApplied mathematicsPhysicsRepressorChemistryTranscription factorBiochemistryEconomicsGeneQuantum mechanicsFinancial economicsFractional Differential Equations SolutionsAdvanced Control Systems DesignIterative Methods for Nonlinear Equations