Analytical approximate solution of time-fractional Fornberg–Whitham equation by the fractional variational iteration method

The purpose of this paper was to obtain the analytical approximate solution of time-fractional Fornberg–Whitham, equation involving Jumarie’s modified Riemann–Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides the solution in the form of a convergent series wit...

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Bibliographic Details
Main Authors: Birol İbiş, Mustafa Bayram
Format: Article
Language:English
Published: Elsevier 2014-12-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016814000945
Description
Summary:The purpose of this paper was to obtain the analytical approximate solution of time-fractional Fornberg–Whitham, equation involving Jumarie’s modified Riemann–Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides the solution in the form of a convergent series with easily calculable terms. The obtained approximate solutions are compared with the exact or existing numerical results in the literature to verify the applicability, efficiency and accuracy of the method.
ISSN:1110-0168