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

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
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