Results 31 to 40 of about 20,329 (280)

Solution of Time Independent System of First Order Ordinary Differential Equations Using Embedding Method in Fuzzy Environment

open access: hybridUMYU Scientifica, 2023
In this study, time independent system of first order fuzzy ordinary differential equations is solved using embedding method. Results for the system of FODEs are obtained and a case of non-homogeneous system of FODEs is established and used to find the Eigen values in an  matrix with negative real numbers consisting of  fuzzy numbers.
Habibu Hassan, Alhaji Tahir
openalex   +3 more sources

New results for fractional ordinary differential equations in fuzzy metric space

open access: goldAIMS Mathematics
<abstract><p>In this paper, we primarily focused on the existence and uniqueness of the initial value problem for fractional order fuzzy ordinary differential equations in a fuzzy metric space. First, definitions and relevant properties of the Gamma function and Beta function within a fuzzy metric space were provided.
Li Chen   +3 more
openalex   +3 more sources

First order homogeneous ordinary differential equation with initial value as triangular intuitionistic fuzzy number

open access: diamondJournal of Uncertainty in Mathematics Science, 2014
In this paper first order homogeneous ordinary differential equation is described in intuitionistic fuzzy environment. Here initial condition of the said differential equation is considered as triangular intuitionistic fuzzy number. It is illustrated by numerical examples.
Sankar Prasad Mondal, Tapan Kumar Roy
openalex   +2 more sources

Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces

open access: greenHacettepe Journal of Mathematics and Statistics, 2018
Summary: The main purpose of this article is to discuss the existence of the common solution of second-order nonlinear boundary value problems \[ \begin{cases} \mathfrak{x}''(\jmath)=\Bbbk(\jmath,\mathfrak{x}(\jmath),\mathfrak{x}'(\jmath))\quad &\text{if } \jmath \in [0,\Lambda],\quad\Lambda>0, \\ \mathfrak{x}(\jmath_1)=\mathfrak{x}_1, \\ \mathfrak{x}(\
Muhammad Sarwar, Tongxing Li
openalex   +6 more sources

The optimization effect of fuzzy factional-order ordinary differential equation in block chain financial cross-border E-commerce payment mode

open access: goldAlexandria Engineering Journal, 2020
To solve the problems of low execution efficiency and insufficient security of traditional electronic payment mode, in this study, an improved mode of cross-border e-commerce payment based on fuzzy fractional-order ordinary differential equation and secure electronic transaction protocol is proposed.
Qian Zhu, Bin Liu, Han Fang, Martin Lee
openalex   +3 more sources

ANN-based analysis of MHD third-grade hybrid nanofluid flow over a thin needle with fuzzy volume fraction under nonlinear radiation and heat generation [PDF]

open access: yesScientific Reports
This investigation examines the magnetohydrodynamic (MHD) flow and heat transfer characteristics of a third-grade hybrid nanofluid (HNF) containing $${\text{Al}}_{{2}} {\text{O}}_{{3}}$$ and $${\text{TiO}}_{2}$$ nanoparticles suspended in sodium alginate
Imran Siddique   +6 more
doaj   +2 more sources

Population Growth Models Using Fuzzy Ordinary Differential Equation

open access: diamondSemina: Ciências Exatas e Tecnológicas
Fuzzy mathematics is a branch of mathematics that presents a new approach to the classical notion of set, enabling the generalization of concepts and results from classical mathematics.
Diogo Sampaio da Silva   +1 more
doaj   +3 more sources

Stabilization of a Class of Nonlinear Coupled Ordinary Differential Equation–Partial Differential Equation Systems Via Sampled-Data H∞ Fuzzy Controller

open access: greenJournal of Dynamic Systems, Measurement, and Control, 2017
The main intention of this study is to develop a sampled-data H∞ fuzzy controller design to analyze the stability of coupled ordinary differential equation (ODE)–partial differential equation (PDE) systems, where the nonlinear coupled system is expressed by Takagi–Sugeno (T–S) fuzzy models.
S. Dharani   +2 more
openalex   +3 more sources

Artificial intelligence neural network and fuzzy modelling of unsteady Sisko trihybrid nanofluids for cancer therapy with entropy insights [PDF]

open access: yesScientific Reports
The main objective of the current endeavor is to monitor hypothetical processes utilizing a Sisko tri-hybrid fluid over a rotating disk with entropy generation suspended in Darcy-Forchheimer porous medium.
A. Divya   +5 more
doaj   +2 more sources

Approximate Solution of Linear Fuzzy Random Ordinary Differential Equations Using Laplace Variational Iteration Method

open access: diamondIraqi Journal of Science
In this article, the Laplace transformation method in connection with the variational iteration method will be used to solve approximately fuzzy random ordinary differential equations. After that, the sequence of approximated closed form iterated solutions is derived based on the general Lagrange multiplier evaluated using the well-known convolution ...
Ali Adnan Abdulsahib   +2 more
openalex   +3 more sources

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