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Fuzzy differential equations without fuzzy convexity

Fuzzy Sets and Systems, 2013
Classical 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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Fuzzy differential equations by fuzzy-transform

2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015
The fuzzy transform setting (F-transform), as a tool for general continuous approximation of functions, is proposed to approximate the solution of ordinary, interval or fuzzy (levelwise) differential equations; in particular, one of the basic properties of inverse F-transform allows a good approximation of the solution x(t), starting with the uniform ...
Radi, Davide, Stefanini, Luciano
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Fuzzy Euler differential equation

SOP Transactions on Applied Mathematics, 2015
In this work, we state a Fuzzy Euler differential equation, Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. Our strategy is based by the change of variables and reduced Fuzzy Euler differential equation to fuzzy initial value problem for a second-order linear fuzzy differential equation.
S. Melliani, L. Chadli, A. Harir
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Solving Riccati Fuzzy Differential Equations

New Mathematics and Natural Computation, 2021
In 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 delay differential equations

Fuzzy Optimization and Decision Making, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lupulescu, Vasile, Abbas, Umber
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On fuzzy differential equations

Fuzzy Sets and Systems, 1989
This 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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Revisiting fuzzy differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhaskar, T. Gnana   +2 more
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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 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 transform for fractional fuzzy differential equations

2022
In this research, we apply a very powerful and relatively simple technique called Fuzzy ( F) transform to solve fractional fuzzy problem with respect to fuzzy valued functions. This approach allows to transform a fractional fuzzy differential equations to the system of algebraic equations.
Thi Minh Tam Pham, Irina Perfilieva
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