Theresults of this method are in good agreement with those obtained by using the variational iteration method and the
Adomian decomposition method. As an advantage of this method over the Adomian decomposition method, in this
method we do not need to do the difficult computation for finding the Adomian polynomials. Generally speaking,
the proposed method is promising and applicable to a broad class of linear and nonlinear problems in the theory of
fractional calculus.