Solutions of time-fractional reaction-diffusion equation with modified Riemann-Liouville derivative

Abstract

In this article, a new application of fractional variational iteration method (FVIM) has been used for solution of nonlinear fractional reaction-diffusion with modified Riemann-Liouville derivative. A new application of FVIM was extended to derive analytical solutions in the form of a series for these equations. It is indicated that the solutions obtained by theFVIM are reliable and effective method for strongly nonlinear partial equations with modified Riemann-Liouville derivative.              Key words: Riemann-Liouville derivative, fractional variational iteration method, fractional reaction-diffusion equation.