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Fuzzy Ordinary Differential Equation (I) [PDF]

Fuzzy Information and Engineering, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bing-Yuan Cao
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Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations [PDF]

Advances in Difference Equations, 2014
Abstract Ran and Reurings (Proc. Am. Math. Soc. 132(5):1435-1443, 2004) proved an analog of the Banach contraction principle in metric spaces endowed with a partial order and discussed some applications to matrix equations. The main novelty in the paper of Ran and Reurings involved combining the ideas in the contraction principle with those ...
Hemant Kumar Nashine, Calogero Vetro, Wiyada Kumam, Poom Kumam   +3 more
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Approximate Solution of Higher Order Fuzzy Initial Value Problems of Ordinary Differential Equations Using Bezier Curve Representation [PDF]

Mathematics and Statistics, 2021
The Bezier curve is a parametric curve used in the graphics of a computer and related areas. This curve, connected to the polynomials of Bernstein, is named after the design curves of Renault's cars by Pierre Bezier in the 1960s. There has recently been considerable focus on finding reliable and more effective approximate methods for solving different ...
Sardar G Amen, Ali F. Jameel, Abdul Malek Yaakob   +2 more
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Multiple solutions of ordinary differential systems with min-max terms and applications to the fuzzy differential equations [PDF]

Advances in Difference Equations, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yicheng Liu, Jun Wu
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Fuzzy Differential Equations for Nonlinear System Modeling With Bernstein Neural Networks

IEEE Access, 2016
With the fuzzy set theory, the uncertainty of nonlinear systems can be modeled using fuzzy differential equations. The solutions of these equations are the model output, but they are very difficult to obtain.
Raheleh Jafari, Wen Yu, Xiaoou Li
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Fuzzy-based numerical analysis of Sisko hybrid nanofluid bioconvective flow over a stretched cylinder for osteoarthritis drug delivery [PDF]

Scientific Reports
This study presents a fuzzy-based numerical analysis of Sisko hybrid nanofluid (HNF) flow over a stretched cylinder, which incorporates bioconvection from motile bacteria to simulate targeted medication administration for osteoarthritis treatment.
V. Karthik, P. Asaigeethan, A. VarshaVincy, B. Thrisha, M. Shyamala, Selvakumar Periyasamy   +5 more
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First Order Linear Homogeneous Fuzzy Ordinary Differential Equation Based on Lagrange Multiplier Method

Journal of Soft Computing and Applications, 2013
In this paper the First Order Linear Fuzzy Ordinary Differential Equations are described. Here coefficients and /or initial condition of said differential equation are taken as the Generalized Triangular Fuzzy Numbers (GTFNs).The solution procedure of this Fuzzy Differential Equation is developed by Lagrange Multiplier Method.
Sankar Prasad Mondal, Tapan Kumar Roy
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Developing the Third Order Linear and Nonlinear Fuzzy Ordinary Differential Equations in Hilbert Space by the Extension Principle

UMYU Scientifica, 2023
In this study, a third nonlinear fuzzy ordinary differential equation is defined and established in Hilbert space using extension principle. The results obtained gives clear distinction between this work and the existing ones in the literature an example is formulated which shows that a closed subset of a Hilbert space is a Hilbert Space.
Habibu Hassan, Alhaji Tahir
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Solution of System of First Order Nonlinear Non-Homogeneous Fuzzy Ordinary Differential Equations by Embedding Method

UMYU Scientifica, 2023
In this study, a system of first order nonlinear non-homogeneous fuzzy ordinary differential equations will be examine in fuzzy environment and solved using embedding method. The results of nonlinear non-homogeneous fuzzy ordinary differential equations are established which followed the form of matrices and all the components of the matrices are real
Habibu Hassan, Alhaji Tahir
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About the Existence and Uniqueness Theorem of Fuzzy Random Ordinary Differential Equations

Al-Nahrain Journal of Science, 2023
Ordinary differential equations that includes stochastic processes in their vector fields are called random ordinary differential equations, that are considered through this work as a Weiner process or also called Brownian motion.
Osama M. Atyia, Fadhel S. Fadhel, Mizal H. Alobaidi   +2 more
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