Random Fuzzy Differential Equations with Impulses

We consider the random fuzzy differential equations (RFDEs) with impulses. Using Picard method of successive approximations, we shall prove the existence and uniqueness of solutions to RFDEs with impulses under suitable conditions. Some of the properties of solution of RFDEs with impulses are studie...

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Main Author: Ho Vu
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2017/4056016
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author Ho Vu
author_facet Ho Vu
author_sort Ho Vu
collection DOAJ
description We consider the random fuzzy differential equations (RFDEs) with impulses. Using Picard method of successive approximations, we shall prove the existence and uniqueness of solutions to RFDEs with impulses under suitable conditions. Some of the properties of solution of RFDEs with impulses are studied. Finally, an example is presented to illustrate the results.
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id doaj-art-3feff1e69b324f01a3e2709c05b6e57d
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2017-01-01
publisher Wiley
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series Complexity
spelling doaj-art-3feff1e69b324f01a3e2709c05b6e57d2025-08-20T03:55:36ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/40560164056016Random Fuzzy Differential Equations with ImpulsesHo Vu0Faculty of Mathematical Economics, Banking University of Ho Chi Minh City, Ho Chi Minh City, VietnamWe consider the random fuzzy differential equations (RFDEs) with impulses. Using Picard method of successive approximations, we shall prove the existence and uniqueness of solutions to RFDEs with impulses under suitable conditions. Some of the properties of solution of RFDEs with impulses are studied. Finally, an example is presented to illustrate the results.http://dx.doi.org/10.1155/2017/4056016
spellingShingle Ho Vu
Random Fuzzy Differential Equations with Impulses
Complexity
title Random Fuzzy Differential Equations with Impulses
title_full Random Fuzzy Differential Equations with Impulses
title_fullStr Random Fuzzy Differential Equations with Impulses
title_full_unstemmed Random Fuzzy Differential Equations with Impulses
title_short Random Fuzzy Differential Equations with Impulses
title_sort random fuzzy differential equations with impulses
url http://dx.doi.org/10.1155/2017/4056016
work_keys_str_mv AT hovu randomfuzzydifferentialequationswithimpulses