Fractional differential transform method for solving fuzzy integro-differential equations of fractional order

الملخص EN

In this paper, we present an approximate solution for fuzzy integro-differential equations of fractional order of the form: withinitialconditiony(x)y *x D denotes a differential operator with fractional order q in the Caputo sense, f (x)is assumed to be fuzzy function and 0 yx is assumed to be fuzzy number,using the differential transform method.

The solution of our model equations are calculated in the form of convergent series with easily computable components.

Two examples are solved as illustrations using symbolic computation.

The numerical results show that the followed approach is easy to implement and accurate when applied to fuzzy integro-differential equations of fractional order.

Keywords:Fractional calculus, Fuzzy integro-differential equations, fractional differential transform method