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

Document Type: Regular Paper

Author

Department of Mathematical Engineering, Faculty of Engineering, Gumushane University 29100, Gumushane, Turkey

Abstract

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.

Keywords