Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method

	Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method
Iranian Journal of Science
مقاله 11، دوره 37، شماره 1، خرداد 2013، صفحه 83-92 اصل مقاله (406.72 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1541
نویسنده
M. Merdan^*
Department of Mathematical Engineering, Faculty of Engineering, Gumushane University 29100, Gumushane, Turkey
چکیده
In this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modified Riemann-Liouville derivative was obtained with the help of fractional variational iteration method (FVIM). A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for this equation. It is indicated that the solutions obtained by the FVIM are reliable and an effective method for strongly nonlinear partial equations with modified Riemann-Liouville derivative.
کلیدواژه‌ها
Fractional variational iteration method؛ fractional convection-diffusion equation؛ Riemann-Liouville derivative

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