Results 211 to 220 of about 4,976 (260)
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Solving Riccati Fuzzy Differential Equations
New Mathematics and Natural Computation, 2021In this paper, a method for solving Riccati fuzzy differential equations is studied in great detail. To obtain the solution of Riccati fuzzy differential equations (RFDEs), we study the fuzzy differential equations (FDEs) using the concept of generalized [Formula: see text]-differentiability.
F. Karimi +3 more
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Fuzzy differential equations without fuzzy convexity
Fuzzy Sets and Systems, 2013Classical fuzzy differential equations defined in terms of the Hukuhara derivative depend critically on the convexity of the level sets and result in expanding level sets. Here Hullermeier's suggestion of defining fuzzy differential equations at each level set via differential inclusions is combined with ideas of Aubin on morphological equations, which
Peter E. Kloeden, Thomas Lorenz
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On a class of fuzzy functional differential equations
Fuzzy Sets and Systems, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasile Lupulescu
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On fuzzy differential equations
Fuzzy Sets and Systems, 1989This paper is just an extension of another work by the first author [J. Math. Anal. Appl. 129, 346-361 (1988; Zbl 0645.54009)] where the authors equipped the space of regular fuzzy sets on a Banach space with uniform topology, embedded it into a locally convex topological vector space and then introduced a calculus for fuzzy mappings. Here, the authors
Ouyang, He, Wu, Yi
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On random fuzzy differential equations
Fuzzy Sets and Systems, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Set differential equations versus fuzzy differential equations
Applied Mathematics and Computation, 2005The 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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On fuzzy solutions for partial differential equations
Fuzzy Sets and Systems, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ana Maria Bertone +3 more
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Fuzzy differential equation with nonlocal condition
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jong-Yeoul Park +2 more
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Towards the theory of fuzzy differential equations
Fuzzy Sets and Systems, 2002Here, the authors consider a comparative analysis of alternative approaches found in the existing literature, the common point of these approaches being the fact that they all avoid the use of fuzzy derivatives. Moreover, the authors devote to three new ideas in the theory of such ``derivativeless'' fuzzy differential equations. Namely, they define the
Dmitri Vorobiev, Seppo Seikkala
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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 +2 more
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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 +2 more
openaire +1 more source