Results 241 to 250 of about 2,635,700 (282)

Set differential equations versus fuzzy differential equations

Applied Mathematics and Computation, 2005
The paper is devoted to establish some results on existence, uniqueness and flow invariance for set differential equations, and their connection with fuzzy differential equations. Both types of differential equations are emergent research areas, so the background included in this paper will be appreciated for all people interested in the topic.
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Fuzzy Differential Equations

2015
Fuzzy differential equations (FDEs) appear as a natural way to model the propagation of epistemic uncertainty in a dynamical environment. There are several interpretations of a fuzzy differential equation. The first one historically was based on the Hukuhara derivative introduced in Puri-Ralescu [123] and studied in several papers (Wu-Song-Lee [150 ...
Luciana Takata Gomes, Laécio Carvalho de Barros, Barnabas Bede   +2 more
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On fuzzy solutions for partial differential equations

Fuzzy Sets and Systems, 2013
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Ana Maria Bertone, Rosana Motta Jafelice, Laécio Carvalho de Barros, Rodney Carlos Bassanezi   +3 more
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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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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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Fuzzy differential equations for universal oscillators

Fuzzy Sets and Systems, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rui Dai, Minghao Chen 0002, Hiroshi Morita   +2 more
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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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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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