Results 221 to 230 of about 4,976 (260)

On the fuzzy differential equations

Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium, 2002
It is well-known that, in the research on fuzzy differential equations, O. Kaleva's (1987, 1990) work is important. In this paper, we develop his work in two directions: (1) the existence and uniqueness theorem for a solution to the Cauchy problem of fuzzy differential equations; and (2) the existence theorem under a compactness-type condition to the ...
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Introduction to fuzzy partial differential equations

Fuzzy Sets and Systems, 1999
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Thomas Feuring
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Fuzzy differential equations and the extension principle

Information Sciences, 2007
In this paper, the authors study the Cauchy problem for differential equations, considering its parameters and initial conditions given by fuzzy sets. They prove that a solution for fuzzy differential equations can be obtained through Zadeh's extension principle and they also prove the existence of a fuzzy solution which is strongly dependent on the ...
Marina T. Mizukoshi, Laécio Carvalho de Barros, Yurilev Chalco-Cano, Heriberto Román-Flores, Rodney Carlos Bassanezi   +4 more
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Viability theory and fuzzy differential equations

Fuzzy Sets and Systems, 2005
The authors present a new viability theory for differential inclusions and establish new existence results for fuzzy differential equations. In the literature, viability theory is presented for first-order differential inclusions where the nonlinearity is bounded.
Ravi P. Agarwal, Donal O'Regan, V. Lakshmikantham   +2 more
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Fuzzy differential equations

Fuzzy Sets and Systems, 1987
A differential and integral calculus for fuzzy-set-valued mappings was developed in recent papers of Dubois and Prade, and Puri and Ralescu. The purpose of this paper is to study differential equations for fuzzy-set- valued mappings of a real variable whose values are normal, convex, upper semi-continuous and compactly supported fuzzy sets in \(R^ n\).
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Fuzzy Sets and Fuzzy Differential Equations

2001
Solution of real world problems often rely on solutions of mathematical models of empirical phenomena. It is well known that the precision and exactness necessary during the construction and solution of such models are not always true in real situations.
V. Lakshmikantham, Ram N. Mohapatra
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Monotone method for fuzzy differential equations

Fuzzy Sets and Systems, 2008
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Numerical solutions of fuzzy differential equations

Fuzzy Sets and Systems, 1999
The authors study the explicit Euler approximation of a Cauchy problem for fuzzy (ordinary) differential equations. By the embedding approach, the original problem in a Banach space with supremum norm is replaced by two parametric, first-order ordinary differential equations. These differential equations can be solved by classical numerical algorithms.
Ming Ma 0001, Menahem Friedman, Abraham Kandel   +2 more
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On random fuzzy functional differential equations

Fuzzy Sets and Systems, 2013
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Jong Yeoul Park, Jae Ug Jeong
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Fuzzy differential equations with interactive derivative

Fuzzy Sets and Systems, 2017
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Laécio Carvalho de Barros, Francielle Santo Pedro   +1 more
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