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Numerical Analysis and Computation

SelectedWorks

Variational Iteration Method (Fractional Calculus)

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Full-Text Articles in Physical Sciences and Mathematics

Variational Iteration Method For The Burgers' Flow With Fractional Derivatives—New Lagrange Multipliers, Guo-Cheng Wu, Dumitru Baleanu Dec 2013

Variational Iteration Method For The Burgers' Flow With Fractional Derivatives—New Lagrange Multipliers, Guo-Cheng Wu, Dumitru Baleanu

G.C. Wu

The flow through porous media can be better described by fractional models than the classical ones since they include inherently memory effects caused by obstacles in the structures. The variational iteration method was extended to find approximate solutions of fractional differential equations with the Caputo derivatives, but the Lagrange multipliers of the method were not identified explicitly. In this paper, the Lagrange multiplier is determined in a more accurate way and some new variational iteration formulae are presented.


Variational Approach For Fractional Diffusion-Wave Equations On Cantor Sets, Guo-Cheng Wu, Kai-Teng Wu Nov 2011

Variational Approach For Fractional Diffusion-Wave Equations On Cantor Sets, Guo-Cheng Wu, Kai-Teng Wu

G.C. Wu

The fractional variational iteration method is used to investigate the diffusion-wave problem on Cantor sets. The approximate solution is obtained in forms of fractional differentiable functions