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

The new expansion method to solve Fractional KdV-Equations