Solving fuzzy differential equations by Runge-Kutta method

In this paper, we interpret a fuzzy differential equation (FDE) by using the strongly generalized differentiability concept. Then we show that by this concept any FDE can be transformed to a system of ordinary differential equations (ODEs). Next by solving the associate ODEs we will find two solutions for FDE. Here we express the generalized Runge-Kutta approximation method of order two and analyze its error. Finally one example in the nuclear decay equation show the rich behavior of the method.