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The cauchy problem for fuzzy differential equations

Fuzzy Sets and Systems, 1990
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Carathéodory solutions of fuzzy differential equations

Fuzzy Sets and Systems, 2002
Here, the authors establish a solution to fuzzy differential equations with right-hand side satisfying a Carathéodory condition. They do not quote important references, e.g. results due to \textit{V. Lakshmikantham} and \textit{Ram N. Mohapatra} [Fuzzy sets and fuzzy differential equations. K.
Xiaoping Xue 0001, Yongqiang Fu
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Fuzzy differential equations

Fuzzy Sets and Systems, 2013
Weldon A. Lodwick   +1 more
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Stochastic fuzzy differential equations with an application

Kybernetika, 2011
Summary: We present the existence and uniqueness of solutions to the stochastic fuzzy differential equations driven by Brownian motion. The continuous dependence on initial condition and stability properties are also established. As an example of application we use some stochastic fuzzy differential equation in a model of population dynamics.
Marek T. Malinowski, Mariusz Michta
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Comparison results for fuzzy differential equations

Information Sciences, 2008
The author proves some results which allow to establish a comparison between to fuzzy functions which are solutions to different ``linear'' fuzzy differential equations. It is also shown how the Hukuhara derivative can be used to compare two fuzzy functions under appropriate conditions.
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Solution of Random Fuzzy Differential Equation

2011
Random Fuzzy Differential Equation(RFDE) describes the phenomena not only with randomness but also with fuzziness. It is widely used in fuzzy control and artificial intelligence etc. In this paper, we shall discuss RFDE as follows:
Jungang Li, Jinting Wang
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Intuitionistic Fuzzy Functional Differential Equations

2017
In this paper, we discuss the local and global existence and uniqueness results for intuitionistic fuzzy functional differential equations. For the local existence and uniqueness we use the method of successive approximations and for global existence and uniqueness we use the contraction principle.
Bouchra Ben Amma   +2 more
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Fuzzy-valued Ordinary Differential Equation

2010
In this paper we put forward concepts of ordinary differential equation of a fuzzy-valued function for the first time, discuss the existence and uniqueness of the solution at common points by applying decomposition theorem in fuzzy sets as well, so that a solution is obtained for the equation.
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Fuzzy differential equations: conceptual interpretations

Evolutionary Intelligence, 2022
Mehran Mazandarani, Marzieh Najariyan
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