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On the boundedness of motions of mechanical systems described by fuzzy ordinary differential equations

International Applied Mechanics, 2005
The authors apply an approach proposed in [\textit{A. A. Martynyuk} and \textit{V. I. Slyn'ko}, Dokl. Ross. Akad. Nauk 402, No. 3, 365--370 (2005)] for the investigation of fuzzy ordinary differential equations. The essence of this approach consists in splitting the space \(E^n\) into two spaces: the Euclidean space \(\mathbb{R}^n\) and the factor ...
Martynyuk, A. A., Slyn'ko, V. I.
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Laplace transform formula on fuzzy nth-order derivative and its application in fuzzy ordinary differential equations

Soft Computing, 2014
The Laplace transform formula provide solutions to a fuzzy \(n\)th order differential equation which is interpreted by using the strongly generalized differentiability concept. This may confer solutions which have a decreasing length of their support. The related theorems and properties are proved in detail.
M. Barkhordari Ahmadi   +2 more
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On fuzzy type-1 and type-2 stochastic ordinary and partial differential equations and numerical solution

Soft Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abhirup Bandyopadhyay, Samarjit Kar
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Application of ordinary differential equation in glucose-insulin regulatory system modeling in fuzzy environment

Ecological Genetics and Genomics, 2017
Abstract In this paper we study the application of ordinary differential equation in Glucose-Insulin Regulatory system modeling which is considered in fuzzy environment. The solution strategy for solving the model in fuzzy environment is taken as the method namely, generalized Hukuhara derivative approach.
Animesh Mahata   +3 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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Stabilization of a Class of Nonlinear Coupled Ordinary Differential Equation–Partial Differential Equation Systems Via Sampled-Data H∞ Fuzzy Controller

Journal of Dynamic Systems, Measurement, and Control, 2017
The main intention of this study is to develop a sampled-data H∞ fuzzy controller design to analyze the stability of coupled ordinary differential equation (ODE)–partial differential equation (PDE) systems, where the nonlinear coupled system is expressed by Takagi–Sugeno (T–S) fuzzy models.
S. Dharani   +2 more
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Solution of second order linear fuzzy ordinary differential equation by Lagrange multiplier method with application in mechanics

OPSEARCH, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mondal, Sankar Prasad, Roy, Tapan Kumar
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Using Variational Iteration Method for Solving Linear Fuzzy Random Ordinary Differential Equations

Mathematical Modelling of Engineering Problems, 2023
Osama M. Atyia   +2 more
openaire   +1 more source

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