Electrical circuitfractional differential equationgeneralized Mittag-Leffler functionSumudu transformA main attribute of the Sumudu transform lies in its units preserving property. Connected to Fourier, bilatera
ParallelRLCCircuit 1.ODE,ICs,generalsolutionofparallel voltage 2.Over-dampedresponse 3.Under-dampedresponse 4.Critically-dampedresponse 4 Thegoverningordinarydifferentialequation(ODE) .0)( 1 0 0 R v tdtv L I dt dv C t ByKCL: .0 1 2 2 LC v dt dv RCdt vd Performtimederivative,wegotalin...
In this paper, we obtain the solution of a fractional differential equation associated with a RLC electrical circuit. The solution is derived by the application of the Sumudu transform. The results are obtained in compact and elegant forms in terms of the generalized Mittag-Leffler function and H...