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Liu, Yanqin; Xu, Fengsheng; Yin, Xiuling

Variational approximate solutions of fractional nonlinear nonhomogeneous equations with Laplace transform. (English) Zbl 1470.35400

Abstr. Appl. Anal. 2013, Article ID 819268, 9 p. (2013).
Summary: A novel modification of the variational iteration method is proposed by means of Laplace transform and homotopy perturbation method. The fractional lagrange multiplier is accurately determined by the Laplace transform and the nonlinear one can be easily handled by the use of He’s polynomials. Several fractional nonlinear nonhomogeneous equations are analytically solved as examples and the methodology is demonstrated.

MSC:

35R11 Fractional partial differential equations
35A22 Transform methods (e.g., integral transforms) applied to PDEs
35A35 Theoretical approximation in context of PDEs
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