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Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations. (English) Zbl 1219.65081

Summary: Linear and nonlinear boundary value problems for fourth-order fractional integro-differential equations are solved by variational iteration method and homotopy perturbation method. The fractional derivatives are described in the Caputo sense. The solutions of both problems are derived by infinite convergent series which are easily computable and then graphical representation shows that both methods are most effective and convenient one to solve linear and nonlinear boundary value problems for fourth-order fractional integro-differential equations.

MSC:

65L99 Numerical methods for ordinary differential equations
34A08 Fractional ordinary differential equations
34K25 Asymptotic theory of functional-differential equations
34K37 Functional-differential equations with fractional derivatives
45J05 Integro-ordinary differential equations
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