Differential transform method for solving fuzzy fractional initial value problems

Abstract EN

In this paper we present an approximate analytical solution for fuzzy fractional initial value problems (FFIVP's) of the form : y(q)(x) = f(x, y(x)), p =1 < q ≤ p, p € y(j)(a) = yja , j = 0, 1, … , p -1 where the fuzzyness appeared in the initial conditions, to be fuzzy numbers, using the differential transform method.

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

Some 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 fractional fuzzy initial value problems.