Fuzzy ordinary differential equation (I)

Bing-yuan Cao ()
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Bing-yuan Cao: Guangzhou University

Fuzzy Information and Engineering, 2010, vol. 2, issue 3, 269-281

Abstract: Abstract Fuzzy ordinary differential equation has been studied in many ways. In this paper we put forward concepts of ordinary differential equation of a fuzzy-valued function for the first time, discuss the existence and uniqueness of the solution at common points by applying decomposition theorem in fuzzy sets as well, so that a solution is obtained for the equation. Finally the method proves to be feasible and effective by a numerical example.

Keywords: Fuzzy-valued functions; Ordinary differential equation; Decomposition theorem; Existence and uniqueness of solution (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s12543-010-0049-2

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