Exact solutions for some of the fractional differential equations by using modification of He's variational iteration method

In this paper, the modification of He's variational iteration method(MVIM) is developed to solve fractional ordinary differentialequations and fractional partial differential equations. It is usedthe free choice of initial approximation to propose the reliablemodification of He's variational iteration method. Some of thefractional differential equations are examined to illustrate theeffectiveness and convenience of the method. The results show thatthe proposed method has accelerated convergence.