New Results on Multiple Solutions for
th-Order Fuzzy Differential Equations under Generalized Differentiability !()
1 Department of Applied Mathematics, University of Tabriz, Tabriz 51666 16471, Iran
2 Research Center for Industrial Mathematics University of Tabriz, Tabriz 51666 16471, Iran
Boundary Value Problems 2009, 2009:395714 doi:10.1155/2009/395714Published: 20 July 2009
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.