About Fuzzy Differential Equations

This paper deals with the fuzzy initial value problem and how to solve a linear fuzzy differential equation of first order  when the initial condition is a triangle fuzzy number. This problem is then developed to the case  when the initial condition is a trapezoidal fuzzy number. The paper includes...

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Main Authors: Basil Thanoon, Asmaa Al-Katib
Format: Article
Language:Arabic
Published: Mosul University 2014-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163753_35e43410bb11d24fbb53315868403a96.pdf
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author Basil Thanoon
Asmaa Al-Katib
author_facet Basil Thanoon
Asmaa Al-Katib
author_sort Basil Thanoon
collection DOAJ
description This paper deals with the fuzzy initial value problem and how to solve a linear fuzzy differential equation of first order  when the initial condition is a triangle fuzzy number. This problem is then developed to the case  when the initial condition is a trapezoidal fuzzy number. The paper includes also the issue of the representation of a system of linear fuzzy differential equations, a more general system of  linear fuzzy differential equations is then proposed and the solution of this system is also given. An illustrative examples are given in order to consolidate the raised ideals.
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spelling doaj.art-ddabe5a19cb34aa5abc8dbcf89b512912022-12-22T02:07:54ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902014-12-01112132510.33899/csmj.2014.163753163753About Fuzzy Differential EquationsBasil Thanoon0Asmaa Al-Katib1College of Comp. Sc. and Math. University of MosulCollege of Basic Education University of MosuThis paper deals with the fuzzy initial value problem and how to solve a linear fuzzy differential equation of first order  when the initial condition is a triangle fuzzy number. This problem is then developed to the case  when the initial condition is a trapezoidal fuzzy number. The paper includes also the issue of the representation of a system of linear fuzzy differential equations, a more general system of  linear fuzzy differential equations is then proposed and the solution of this system is also given. An illustrative examples are given in order to consolidate the raised ideals.https://csmj.mosuljournals.com/article_163753_35e43410bb11d24fbb53315868403a96.pdffuzzydifferential equations
spellingShingle Basil Thanoon
Asmaa Al-Katib
About Fuzzy Differential Equations
Al-Rafidain Journal of Computer Sciences and Mathematics
fuzzy
differential equations
title About Fuzzy Differential Equations
title_full About Fuzzy Differential Equations
title_fullStr About Fuzzy Differential Equations
title_full_unstemmed About Fuzzy Differential Equations
title_short About Fuzzy Differential Equations
title_sort about fuzzy differential equations
topic fuzzy
differential equations
url https://csmj.mosuljournals.com/article_163753_35e43410bb11d24fbb53315868403a96.pdf
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