Computational and Mathematical Methods · 2019 · 96 citations · 14 references
Natural SciencesMathematicsPhysicsComputational PhysicsDifferential EquationsFluid DynamicsNumerical AnalysisNumerical Methods For Differential EquationsPerturbation MethodsPerturbation TheoryFractional Differential EquationsFredholm TheoryPerturbation Of Nonlinear Differential EquationsVolterra EquationsVolterra Theory
This work considers the solution of fractional Volterra-Fredholm integrodifferential equations. Here, we consider the approximation of the solution based on semi-analytical approaches. We use the homotopy perturbation method approach for this purpose. It is observed through different examples that the adopted strategy is not only an effective tool for approximation of the solution but also can lead to the exact solution of certain problems.
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Homotopy perturbation technique
Ji‐Huan He · Computer Methods in Applied Mechanics and Engineering · 1999 · 3.5K citations