Copyright © 2009 A. Khastan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We firstly present a generalized concept of higher-order differentiability for fuzzy functions. Then we interpret th-order fuzzy differential equations using this concept. We introduce new
definitions of solution to fuzzy differential equations. Some examples
are provided for which both the new solutions and the former ones
to the fuzzy initial value problems are presented and compared. We
present an example of a linear second-order fuzzy differential equation
with initial conditions having four different solutions.