Generalized Differential Transformation Method for Solving System of Linear Volterra Integro-Differential Equations of Fractional Order

Abstract

In this paper, the Generalized  Differential Transformation Method (GDTM) for approximating the solution of systems of linear volterra  integro-differential equations of  fractional  of fractional is implemented. The fractional derivative is considered in the Caputo sense. The approximate solutions are calculated in the form of a convergent series with easily quantifiable workings. Numerical results show that this approach is easy to implement and accurate when applied to systems integro-differential equations.