Abstract and Applied Analysis · 2012 · 18 citations · 29 references
Natural SciencesPhysicsDifferential EquationsNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsPerturbation MethodsPerturbation TheoryFractional Differential EquationsFredholm OperatorsFredholm TheoryNumerical Methods For Initial Value ProblemsPerturbation Of Boundary Value ProblemsPerturbation Of Initial Value ProblemsPerturbation Of Nonlinear Differential EquationsVariational Methods In Partial Differential Equations
This paper presents the application of homotopy perturbation and variational iteration methods as numerical methods for Fredholm integrodifferential equation of fractional order with initial‐boundary conditions. The fractional derivatives are described in Caputo sense. Some illustrative examples are presented.
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Homotopy perturbation technique
Ji‐Huan He · Computer Methods in Applied Mechanics and Engineering · 1999 · 3.5K citations