EXISTENCE AND UNIQUENESS THEOREM FOR A SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS

By using the method of successive approximation, we prove the existence and uniqueness of a solution of the fuzzy differential equation x'(t) = f(t, x(t)), x(t_0) = x_0. We also consider an ∈-approximate solution of the above fuzzy differential equation.

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Bibliographic Details
Published inInternational Journal of Mathematics and Mathematical Sciences Vol. 1999; no. 2; pp. 271 - 279
Main Authors Park, Jong Yeoul, Han, Hyo Keun
Format Journal Article
LanguageEnglish
Published Hindawi Limiteds 01.01.1999
Wiley
Subjects
fuzzy derivative
fuzzy differential equation
fuzzy integral
Fuzzy set-valued mapping
fuzzy solution
fuzzy ϵ solution
levelwise continuous
levelwise continuous
fuzzy differential equation
fuzzy integral
fuzzy solution
fuzzy derivative
Fuzzy set-valued mapping
fuzzy ∈-approximate solution
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Summary:By using the method of successive approximation, we prove the existence and uniqueness of a solution of the fuzzy differential equation x'(t) = f(t, x(t)), x(t_0) = x_0. We also consider an ∈-approximate solution of the above fuzzy differential equation.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171299222715