On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty

On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty

A class fuzzy fractional differential equation (FFDE) involving Riemann-Liouville H-differentiability of arbitrary order q>1 is considered. Using Krasnoselskii-Krein type conditions, Kooi type conditions, and Rogers conditions we establish the uniqueness and existence of the solution after determ...

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Main Authors: Abdourazek Souahi, Assia Guezane-Lakoud, Amara Hitta
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2016/5246430
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spelling doaj-bafe4e88e75a4c20a8bcca3bea4fcf1c2020-11-24T23:49:55ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2016-01-01201610.1155/2016/52464305246430On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with UncertaintyAbdourazek Souahi0Assia Guezane-Lakoud1Amara Hitta2Laboratory of Applied Mathematics and Modeling, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, AlgeriaLaboratory of Advanced Materials, University of Badji Mokhtar-Annaba, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory of Applied Mathematics and Modeling, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, AlgeriaA class fuzzy fractional differential equation (FFDE) involving Riemann-Liouville H-differentiability of arbitrary order q>1 is considered. Using Krasnoselskii-Krein type conditions, Kooi type conditions, and Rogers conditions we establish the uniqueness and existence of the solution after determining the equivalent integral form of the solution.http://dx.doi.org/10.1155/2016/5246430
collection DOAJ
language English
format Article
sources DOAJ
author Abdourazek Souahi
Assia Guezane-Lakoud
Amara Hitta
spellingShingle Abdourazek Souahi
Assia Guezane-Lakoud
Amara Hitta
On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty
Advances in Fuzzy Systems
author_facet Abdourazek Souahi
Assia Guezane-Lakoud
Amara Hitta
author_sort Abdourazek Souahi
title On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty
title_short On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty
title_full On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty
title_fullStr On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty
title_full_unstemmed On the Existence and Uniqueness for High Order Fuzzy Fractional Differential Equations with Uncertainty
title_sort on the existence and uniqueness for high order fuzzy fractional differential equations with uncertainty
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2016-01-01
description A class fuzzy fractional differential equation (FFDE) involving Riemann-Liouville H-differentiability of arbitrary order q>1 is considered. Using Krasnoselskii-Krein type conditions, Kooi type conditions, and Rogers conditions we establish the uniqueness and existence of the solution after determining the equivalent integral form of the solution.
url http://dx.doi.org/10.1155/2016/5246430
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AT assiaguezanelakoud ontheexistenceanduniquenessforhighorderfuzzyfractionaldifferentialequationswithuncertainty
AT amarahitta ontheexistenceanduniquenessforhighorderfuzzyfractionaldifferentialequationswithuncertainty
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