AN ANALYTICAL APPROACH FOR SOLVING FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

A local fractional variational homotopy perturbation method which is based on local fractional variational iteration method and local fractional homotopy perturbation method is applied to solve the approximate solution of the local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.