Journal of the Egyptian Mathematical Society · 2017 · 31 citations · 20 references
Natural SciencesElectrical EngineeringMathematicsCircuit TheoryDifferential EquationsDifference EquationsElectric CircuitsFinite Difference MethodsLaplace Transform MethodsLinear Circuit AnalysisNumerical Methods For Differential EquationsAnalytical SolutionsEngineering SimulationsFinite Difference SchemesFractional Differential EquationsLaplace TransformLaplace Transform AnalysisLaplace Transform Solutions Of Partial Differential EquationsLaplace Transforms Of Differential Equations
In this article, fractional linear electrical systems are investigated. Analytical solutions of the fractional models are derived using Laplace transform method. Also, numerical simulations using Grünwald–Letnikov definition are proposed. Comparisons between fractional and classical electrical systems are illustrated using Laplace transform and nonstandard finite difference method.
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Fractional Calculus in Bioengineering
Bruce J. West · Journal of Statistical Physics · 2007 · 2K citations