Fractional di erential transform method for solving systems of fractional di erential equations

In this paper, we utilized fractional di erential transform method (FDTM) to get the solutions of systems of fractional di erential equations. The fractional derivatives are described in the Caputo sense. In this technique, namely FDTM, is used to solve the systems of nonlinear fractional di erential equations under appropriate initial con-ditions, in the form of series with easily computable terms. To show the capability and consistency of the proposed scheme, a few examples have been given. The numericalresults show that the approach is easy to implement and accurate when applied to systems of fractional di erential equations. The method introduces a promising tool for solving many linear and nonlinear fractional di erential equations.

کلیدواژه ها:

Fractional Di erential Equations ، Di erential Transform Method ، Ca-puto Derivative