Open Access Research Article

New Results on Multiple Solutions for th-Order Fuzzy Differential Equations under Generalized Differentiability

A Khastan1,2*, F Bahrami1,2 and K Ivaz1,2

Author Affiliations

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

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Boundary Value Problems 2009, 2009:395714 doi:10.1155/2009/395714

Published: 20 July 2009

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.