Fractional variational iteration method for some fractional partial differential equation

The prime objective of this article is to suggest a novel and straightforward fractional variational iteration method (FVIM)to find the solution ofspace and time-fractional telegraph equation. This method is elaboratedfor getting approximate solutions of different type linear and nonlinear phenomenon offractional partial differential equations but the Lagrange multipliers of the fractional variational iteration method are not found explicitly. In the presentarticle, the Lagrange multiplier is found with a new approach to solve space and time-fractional telegraphic equation. The smartness of this article is presented by comparison of approximate and exact solution graphically. Absolute error plotdisplays that approximate solution attained by projected technique converges very fast to the well-known exact solution.