The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations

We generalized the existence theorems and the continuous dependence of a solution on parameters for initial problems of fuzzy discontinuous differential equation by the strong fuzzy Henstock integral and its controlled convergence theorem.

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Bibliographic Details
Main Authors: Yabin Shao, Huanhuan Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/419701
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author Yabin Shao
Huanhuan Zhang
author_facet Yabin Shao
Huanhuan Zhang
author_sort Yabin Shao
collection DOAJ
description We generalized the existence theorems and the continuous dependence of a solution on parameters for initial problems of fuzzy discontinuous differential equation by the strong fuzzy Henstock integral and its controlled convergence theorem.
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institution Kabale University
issn 1110-757X
1687-0042
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publishDate 2013-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-cc6acce1de224a7583b340180ac57a5e2025-02-03T07:25:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/419701419701The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential EquationsYabin Shao0Huanhuan Zhang1College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, ChinaCollege of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, ChinaWe generalized the existence theorems and the continuous dependence of a solution on parameters for initial problems of fuzzy discontinuous differential equation by the strong fuzzy Henstock integral and its controlled convergence theorem.http://dx.doi.org/10.1155/2013/419701
spellingShingle Yabin Shao
Huanhuan Zhang
The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations
Journal of Applied Mathematics
title The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations
title_full The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations
title_fullStr The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations
title_full_unstemmed The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations
title_short The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations
title_sort strong fuzzy henstock integrals and discontinuous fuzzy differential equations
url http://dx.doi.org/10.1155/2013/419701
work_keys_str_mv AT yabinshao thestrongfuzzyhenstockintegralsanddiscontinuousfuzzydifferentialequations
AT huanhuanzhang thestrongfuzzyhenstockintegralsanddiscontinuousfuzzydifferentialequations
AT yabinshao strongfuzzyhenstockintegralsanddiscontinuousfuzzydifferentialequations
AT huanhuanzhang strongfuzzyhenstockintegralsanddiscontinuousfuzzydifferentialequations