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Zbl 1219.65081
Nawaz, Yasir
Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations. (English)
[J] Comput. Math. Appl. 61, No. 8, 2330-2341 (2011). ISSN 0898-1221

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 2000:: *65L99 Numerical methods for ODE
34A08
34K25 Asymptotic theory of functional-differential equations
34K37
45J05 Integro-ordinary differential equations

Keywords: variational iteration method; homotopy perturbation method; boundary value problems; integro-differential equations; Caputo fractional derivative

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Zentralblatt MATH Berlin [Germany]