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Electrical circuitfractional differential equationgeneralized Mittag-Leffler functionSumudu transformA main attribute of the Sumudu transform lies in its units preserving property. Connected to Fourier, bilateral, two-sided, and ordinary Laplace transforms, the Sumudu is beginning to claim more fame through...
Comparisonsbetween:(1)natural&stepresponses,(2)parallel,series,orgeneralRLC.3Section8.1,8.2TheNaturalResponseofaParallelRLCCircuit1.ODE,ICs,generalsolutionofparallelvoltage2.Over-dampedresponse3.Under-dampedresponse4.Critically-dampedresponse4Thegoverningordinarydifferentialequation(ODE).0)(100 RvtdtvLIdtdvCt...
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...