Results 241 to 250 of about 1,423 (273)

Linear systems of first order ordinary differential equations: fuzzy initial conditions

Soft Computing, 2002
The authors consider two types of fuzzy solutions to linear systems of first-order differential equations having fuzzy initial conditions. The first solution, called the extension principle solution, fuzzifies the crisp solution. The second solution, called the classical solution, solves the fuzzyfied differential equations.
J J Buckley, T Feuring, Buckley J J
exaly   +2 more sources

Some coincidence point results in the product space for solutions of the fuzzy of ordinary differential equations and integral equations systems

Journal of Dynamical Systems and Geometric Theories, 2018
In this work, we will introduce the new classes of product spaces and also establish the existence of coincidence points in quasi-ordered fuzzy metric spaces.
Poom Kumam, Juan Martinez-Moreno
exaly   +2 more sources

Differential Equations with Fuzzy Parameters via Differential Inclusions

Journal of Mathematical Analysis and Applications, 2001
We give a definition of solutions of ordinary differential equations in Rn containing parameters which are described by changing in time fuzzy sets. They are defined as fuzzy subsets of the space of absolutely continuous functions.
Tadeusz Rzezuchowski
exaly   +2 more sources

Fuzzy differential equations by fuzzy-transform

, 2015
The fuzzy transform setting (F-transform), as a tool for general continuous approximation of functions, is proposed to approximate the solution of ordinary, interval or fuzzy (levelwise) differential equations; in particular, one of the basic properties ...
Davide Radi, Luciano Stefanini
exaly   +3 more sources

Automated Tuning of Fuzzy Systems to Solve Ordinary Differential Equations

2025 IEEE International Conference on Fuzzy Systems (FUZZ)
Luca Ferranti
exaly   +2 more sources

Variational Iteration Method for Solving n -th Order Fuzzy Differential Equations

Mathematical and Computational Applications, 2011
In this paper, the variational iteration method (VIM) is employed to solve a system of fuzzy differential equations of first order. Since every ordinary fuzzy differential equations of higher order can be converted into a fuzzy system of the first order,
S Abbasbandy, Tofigh Allahviranloo, O Sedaghatfar   +2 more
exaly   +2 more sources

Sumudu transform for solving ordinary differential equation in a fuzzy environment

Journal of Interdisciplinary Mathematics, 2021
The ordinary differential equations are widely used for modeling many real-life problems in the fuzzy world.
Manoj Sahni, Meghna Parikh, Ritu Sahni
openaire   +1 more source

Solution of Linear Ordinary Differential Equations in Fuzzy Environment by Method of Variation of Parameters

Science Forum (Journal of Pure and Applied Sciences), 2021
This work considers LFIVP defined under gH-differentiability with the aim of establishing a method and subsequently, a fuzzy-valued function, which is a solution to the LFIVP. The conditions for a fuzzy function to be H- differentiable and gH-differentiability are defined.
Udot Asuquo, Alhaji Tahir, Usman Sulaiman, Alhaji Tahir   +3 more
openaire   +1 more source

Approximate solution for a class of second-order ordinary differential equations by the fuzzy transform

Journal of Intelligent & Fuzzy Systems, 2014
In the present paper, based on the fuzzy transform method, a novel and efficient algorithm to obtain an approximate solution for a class of second-order ordinary differential equations is proposed, in which two cases are considered, that is, whether the differential equation contains first-order derivative.
Wei Chen 0061, Yonghong Shen
openaire   +1 more source

A New Fuzzy Approach to Ordinary Differential Equations

2010
In real-life problems, both parameters and data used in mathematical modeling are often vague or uncertain. In fields like system biology, diagnosis, image analysis, fault detection and many others, fuzzy differential equations and stochastic differential equations are an alternative to classical, or in the present context crisp, differential equations.
Witold Kosinski, Kurt Frischmuth, Dorota Wilczynska-Sztyma   +2 more
openaire   +1 more source