Results 11 to 20 of about 4,976 (260)

A Review on Fuzzy Differential Equations [PDF]

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   +2 more sources

A Numerical Method for Fuzzy Differential Equations and Hybrid Fuzzy Differential Equations [PDF]

open access: yesAbstract and Applied Analysis, 2013
Numerical algorithms for solving first-order fuzzy differential equations and hybrid fuzzy differential equations have been investigated. Sufficient conditions for stability and convergence of the proposed algorithms are given, and their applicability is
K. Ivaz, A. Khastan, Juan J. Nieto
doaj   +4 more sources

Fuzzy Conformable Fractional Differential Equations [PDF]

open access: yesInternational Journal of Differential Equations, 2021
In this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a
Atimad Harir   +2 more
doaj   +3 more sources

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

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

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

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

Fuzzy solution of system of fuzzy fractional problems using a reliable method

open access: yesAlexandria Engineering Journal, 2022
Under uncertainty, the analytical behavior of fractional differential equations is frequently puzzling and difficult to predict. As a result, it's necessary to develop a suitable, comprehensive, and highly effective theory to solve these challenges.
Ehsan Ul Haq   +3 more
doaj   +1 more source

Switching Point Solution of Second-Order Fuzzy Differential Equations Using Differential Transformation Method

open access: yesMathematics, 2019
The first-order fuzzy differential equation has two possible solutions depending on the definition of differentiability. The definition of differentiability changes as the product of the function and its first derivative changes its sign.
Nadeem Salamat   +2 more
doaj   +1 more source

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