Results 11 to 20 of about 61,894 (145)

Fuzzy Differential Equations for Nonlinear System Modeling With Bernstein Neural Networks

open access: yesIEEE 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
doaj   +1 more source

An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty [PDF]

open access: yes, 2013
A new method is proposed for solving systems of fuzzy fractional differential equations (SFFDEs) with fuzzy initial conditions involving fuzzy Caputo differentiability.
Aghabeigi, S.   +4 more
core   +3 more sources

A comprehensive literature review of fuzzy differential equations with applications [PDF]

open access: yesJournal of Fuzzy Extension and Applications
Physical dynamical systems can be described through mathematical models using the theory of differential equations. Many different types of uncertain healing occur in the real-world. Fuzzy logic is an effective mathematical tool for defining the sense of
Kamal Hossain Gazi   +6 more
doaj   +1 more source

A Review on Fuzzy Differential Equations

open access: yesIEEE Access, 2021
Since the term “Fuzzy differential equations” (FDEs) emerged in the literature in 1978, prevailing research effort has been dedicated not only to the development of the concepts concerning the topic, but also to its potential applications ...
Mehran Mazandarani, Li Xiu
doaj   +1 more source

Fuzzy solutions of some variants of the fractional order Korteweg-de-Vries equations via an analytical method

open access: yesAlexandria Engineering Journal, 2023
Under uncertainty, the analytical behaviour of fractional partial differential equations is frequently puzzling and challenging to predict. Therefore, in order to address these problems, it is essential to create a proper, extensive, and highly effective
Muhammad Nadeem   +3 more
doaj   +1 more source

Incorporating Fuzziness in the Traditional Runge–Kutta Cash–Karp Method and Its Applications to Solve Autonomous and Non-Autonomous Fuzzy Differential Equations

open access: yesMathematics, 2022
The study of the fuzzy differential equation is a topic that researchers are interested in these days. By modelling, this fuzzy differential equation can be used to resolve issues in the real world.
Nurain Zulaikha Husin   +2 more
doaj   +1 more source

Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method

open access: yesJournal of Function Spaces, 2022
The analytical behavior of fractional differential equations is often puzzling and difficult to predict under uncertainty. It is crucial to develop a robust, extensive, and extremely successful theory to address these problems.
M. Mossa Al-Sawalha   +3 more
doaj   +1 more source

A Fuzzy Method for Solving Fuzzy Fractional Differential Equations Based on the Generalized Fuzzy Taylor Expansion

open access: yesMathematics, 2020
In this field of research, in order to solve fuzzy fractional differential equations, they are normally transformed to their corresponding crisp problems. This transformation is called the embedding method.
Tofigh Allahviranloo   +3 more
doaj   +1 more source

Diagonally implicit multistep block method of order four for solving fuzzy differential equations using Seikkala derivatives [PDF]

open access: yes, 2018
In this paper, the solution of fuzzy differential equations is approximated numerically using diagonally implicit multistep block method of order four.
Abdul Majid, Zanariah   +3 more
core   +2 more sources

On the Analysis of Regularized Fuzzy Systems of Uncertain Differential Equations

open access: yesEntropy, 2023
This article analyzes a regularized set of fuzzy differential equations with respect to an uncertain parameter. We provide sufficient conditions for the correctness of a new regularization scheme.
Anatoliy Martynyuk   +3 more
doaj   +1 more source

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