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Application of Numerical Methods to Fuzzy Ordinary Differential Equations

, 2016

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Automated Tuning of Fuzzy Systems to Solve Ordinary Differential Equations

2025 IEEE International Conference on Fuzzy Systems (FUZZ)
Luca Ferranti, Thomas A. Runkler
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Linear systems of first order ordinary differential equations: fuzzy initial conditions

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2002
The authors consider two types of fuzzy solutions to linear systems of first-order differential equations having fuzzy initial conditions. The first solution, called the extension principle solution, fuzzifies the crisp solution. The second solution, called the classical solution, solves the fuzzyfied differential equations.
Buckley, J. J., Feuring, T., Hayashi, Y.
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Solution of Linear Ordinary Differential Equations in Fuzzy Environment by Method of Variation of Parameters

Science Forum (Journal of Pure and Applied Sciences), 2021
This work considers LFIVP defined under gH-differentiability with the aim of establishing a method and subsequently, a fuzzy-valued function, which is a solution to the LFIVP. The conditions for a fuzzy function to be H- differentiable and gH-differentiability are defined.
Udot Asuquo, Alhaji Tahir, Usman Sulaiman, Alhaji Tahir   +3 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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Some coincidence point results in the product space for solutions of the fuzzy of ordinary differential equations and integral equations systems

Journal of Dynamical Systems and Geometric Theories, 2018
In this work, we will introduce the new classes of product spaces and also establish the existence of coincidence points in quasi-ordered fuzzy metric spaces.
Chatuphol Khaofong, Poom Kumam, Parinya Sa Ngiamsumthorn, Juan Martinez-Moreno   +3 more
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First-order linear fuzzy differential equations on the space of linearly correlated fuzzy numbers

Fuzzy Sets and Systems, 2022
Yonghong Shen
exaly  

Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations

Fuzzy Sets and Systems, 2005
Barnabas Bede, Sorin G Gal
exaly  

Numerical solution of fuzzy differential equations by predictor–corrector method

Information Sciences, 2007
T Allahviranloo, Elham Ahmady
exaly  

Variational iteration method for solving fuzzy stochastic ordinary differential equations

AIP Conference Proceedings
Nabaa R. Kareem, Fadhel S. Fadhel, Sadiq Al-Nassir   +2 more
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