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Research Article Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method

By Birol Ebig and Mustafa Bayram


License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie’s modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a convergent series. Some examples are given and the results indicate that the FVIM is of high accuracy, more efficient, and more convenient for solving time FADEs. 1

Year: 2016
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