Generalized Differential Transformation Method for Solving system of Non linear Volterra integro-differential equations of fractional order

الملخص

       In this paper,  the technique of modified Generalized  Differential Transformation Method (GDTM)  is used to solve a system of Non linear integro-differential equations with initial conditions. Moreover, a particular example has been discussed in three different cases to show reliability and the performance of the modified   method. The fractional derivative is considered in the Caputo sense .The approximate solutions are calculated in the form of a convergent series, numerical results explain that this approach is trouble-free to put into practice and correct when applied to systems integro-differential equations.