Results 241 to 250 of about 20,329 (280)

Predictive modeling of stem cell suppression by inflammatory cytokine networks: A synthetic transcriptomic approach for periodontal tissue engineering. [PDF]

J Oral Biol Craniofac Res
Arumuganainar D, Yadalam PK.
europepmc   +1 more source

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
openalex   +2 more sources

Fuzzy-valued Ordinary Differential Equation

, 2010
In this paper we put forward concepts of ordinary differential equation of a fuzzy-valued function for the first time, discuss the existence and uniqueness of the solution at common points by applying decomposition theorem in fuzzy sets as well, so that a solution is obtained for the equation.
Bing-Yuan Cao
openalex   +2 more sources

Laplace transform formula on fuzzy nth-order derivative and its application in fuzzy ordinary differential equations

Soft Computing, 2014
The Laplace transform formula provide solutions to a fuzzy \(n\)th order differential equation which is interpreted by using the strongly generalized differentiability concept. This may confer solutions which have a decreasing length of their support. The related theorems and properties are proved in detail.
M Barkhordari Ahmadi, Narsis A. Kiani, Nasser Mikaeilvand   +2 more
openalex   +3 more sources

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 Kosiński, K. Frischmuth, Dorota Wilczyńska-Sztyma   +2 more
openalex   +2 more sources

On the boundedness of motions of mechanical systems described by fuzzy ordinary differential equations

International Applied Mechanics, 2005
The authors apply an approach proposed in [\textit{A. A. Martynyuk} and \textit{V. I. Slyn'ko}, Dokl. Ross. Akad. Nauk 402, No. 3, 365--370 (2005)] for the investigation of fuzzy ordinary differential equations. The essence of this approach consists in splitting the space \(E^n\) into two spaces: the Euclidean space \(\mathbb{R}^n\) and the factor ...
А. А. Martynyuk, В. И. Слынько   +1 more
openalex   +2 more sources

Application of ordinary differential equation in glucose-insulin regulatory system modeling in fuzzy environment

Ecological Genetics and Genomics, 2017
Abstract In this paper we study the application of ordinary differential equation in Glucose-Insulin Regulatory system modeling which is considered in fuzzy environment. The solution strategy for solving the model in fuzzy environment is taken as the method namely, generalized Hukuhara derivative approach.
Animesh Mahata, Banamali Roy, Sankar Prasad Mondal, Shariful Alam   +3 more
openalex   +2 more sources

On fuzzy type-1 and type-2 stochastic ordinary and partial differential equations and numerical solution

Soft Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abhirup Bandyopadhyay, Samarjit Kar
openalex   +3 more sources

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, Yonghong Shen
openalex   +2 more sources

Numerical Methods for Fuzzy Ordinary and Partial Differential Equations

, 2016

  +5 more sources