Boundary Value Problems
Volume 2009 (2009), Article ID 395714, 13 pages
doi:10.1155/2009/395714
New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability
A. Khastan
, F. Bahrami
and K. Ivaz
Department of Applied Mathematics, University of Tabriz, Tabriz 51666 16471, Iran
Abstract
We firstly present a generalized concept of higher-order differentiability for fuzzy functions. Then we interpret Nth-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.