  Fractional calculus of variation plays an important role to formulate the
non-conservative physical problems. In this paper we use semi-inverse method
and fractional variational principle to formulate the fractional order
generalized Korteweg-deVries (KdV) equation with Jumarie type fractional
derivative and proposed a new method to solve the non-linear fractional
differential equation named as expansion method. Using this method we obtained
the solutions of fractional order generalized KdV. The obtained solutions are
more general compare to other method and the solutions are expressed in terms
of the generalized hyperbolic, trigonometric functions and rational functions.
