In this paper, by using the generalized Taylor's formula we improved the
generalized differential transform method, which is a useful tool for getting the
approximate analytic solutions of fractional differential equations. With this
improvement, solutions of a class of linear nonhomogeneous ordinary fractional
differential equations, which could not be solved with generalized differential
transform method before, will be achieved and the solutions obtained will contain
more integers and fractional exponents
Keywords: Fractional Differential Equations, Generalized Taylor's Formula, Generalized Differential Transform Method. 2000 MSC: 65L05, 26A33.
