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

مجلة 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]

Sahand 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, Said Melliani, L. Saadia Chadli   +2 more
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A Fuzzy Random Boundary Value Problem

Axioms, 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, Reza Chaharpashlou, Reza Saadati, Chenkuan Li   +3 more
doaj   +1 more source

Approximation Solution for Fuzzy Fractional-Order Partial Differential Equations

Fractal 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, Almegdad Almahi, Omer Abdalrhman Omer, Altyeb Mohammed Mustafa, Sarmad A. Altaie   +4 more
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Solution of System of First Order Nonlinear Non-Homogeneous Fuzzy Ordinary Differential Equations by Embedding Method

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

Fractal 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, Muhammad Marwan, Syed Omar Shah, Lamia Loudahi, Mahvish Samar, Ebrima Bittaye, Altyeb Mohammed Mustafa   +6 more
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On the Fuzzy Solution of Linear-Nonlinear Partial Differential Equations

Mathematics, 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, Yonghui Xia, Omer Abdalrhman Omer, Ahmed Hamoud   +3 more
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Fuzzy Type RK4 Solutions to Fuzzy Hybrid Retarded Delay Differential Equations

Frontiers in Physics, 2019
This paper constructs the numerical solution of particular type of differential equations called fuzzy hybrid retarded delay-differential equations using the method of Runge-Kutta for fourth order.
Prasantha Bharathi Dhandapani, Dumitru Baleanu, Dumitru Baleanu, Jayakumar Thippan, Vinoth Sivakumar   +4 more
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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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A comprehensive literature review of fuzzy differential equations with applications [PDF]

Journal 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, Aditi Biswas, Payal Singh, Mostafijur Rahaman, Suman Maity, Animesh Mahata, Sankar Prasad Mondal   +6 more
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