New Results on Multiple Solutions for <inline-formula> <graphic file="1687-2770-2009-395714-i1.gif"/></inline-formula>th-Order Fuzzy Differential Equations under Generalized Differentiability

Abstract

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.