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

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 solu...

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Bibliographic Details
Published in:Boundary value problems 2009-07, Vol.2009 (1)
Main Authors: Khastan, A, Bahrami, F, Ivaz, K
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Research Article
Singular Boundary Value Problems for Ordinary Differential Equations
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Summary: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.
ISSN:1687-2770
DOI:10.1155/2009/395714