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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   +4 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

On the Fuzzy Solution of Linear-Nonlinear Partial Differential Equations

open access: yesMathematics, 2022
In this article, we present the fuzzy Adomian decomposition method (ADM) and fuzzy modified Laplace decomposition method (MLDM) to obtain the solutions of fuzzy fractional Navier–Stokes equations in a tube under fuzzy fractional derivatives.
Mawia Osman   +3 more
doaj   +2 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

Implementing Runge-Kutta Method of Sixth-Order for Numerical Solution of Fuzzy Differential Equations [PDF]

open access: yesمجلة التربية والعلم, 2023
The article talks about the increasing importance of the practical use of fuzzy differential equations in modeling complex problems in various fields, such as science and engineering, as these differential equations allow for obtaining accurate results ...
Marwa Alsafar, Kais Ibraheem
doaj   +1 more source

A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace Transforms [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
The fuzzy conformable Laplace transforms proposed in \cite{lp} are used to solve only fuzzy fractional differential equations of order $ 0 < \iota \leq 1$.
Atimad Harir   +2 more
doaj   +1 more source

A Fuzzy Random Boundary Value Problem

open access: yesAxioms, 2022
A system of generalized fuzzy random differential equations with boundary conditions is investigated, which is a fuzzy version of a system of general random differential equations. We first present random fixed point (RFP) theorems in fuzzy metric space (
Hari M. Srivastava   +3 more
doaj   +1 more source

Approximation Solution for Fuzzy Fractional-Order Partial Differential Equations

open access: yesFractal and Fractional, 2022
In this article, the authors study the comparison of the generalization differential transform method (DTM) and fuzzy variational iteration method (VIM) applied to determining the approximate analytic solutions of fuzzy fractional KdV, K(2,2) and mKdV ...
Mawia Osman   +4 more
doaj   +1 more source

Solution of System of First Order Nonlinear Non-Homogeneous Fuzzy Ordinary Differential Equations by Embedding Method

open access: yesUMYU Scientifica Journal, 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
Habibu Hassan, Alhaji Tahir
doaj   +1 more source

Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives

open access: yesFractal and Fractional, 2023
In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman   +6 more
doaj   +1 more source

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