The fractional variational iteration method using He’s polynomials. (English) Zbl 1241.35216

Guo, Shimin; Mei, Liquan

Phys. Lett., A 375, No. 3, 309-313 (2011).

Summary: In this Letter, by introducing He’s polynomials in the correct functional, we propose a new fractional variational iteration method to solve nonlinear time-fractional partial differential equations involving Jumarie’s modified Riemann-Liouville derivative. Several examples are solved to illustrate that the proposed method is quite effective and convenient for solving kinds of nonlinear fractional order problems.

MSC:

35R11	Fractional partial differential equations
35C08	Soliton solutions
47J25	Iterative procedures involving nonlinear operators

Keywords:

fractional variational iteration method; homotopy perturbation method; modified Riemann-Liouville derivative; fractional differential equation; solitary wave solution

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