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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2016/5246430 |
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| author | Abdourazek Souahi Assia Guezane-Lakoud Amara Hitta |
| author_facet | Abdourazek Souahi Assia Guezane-Lakoud Amara Hitta |
| author_sort | Abdourazek Souahi |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-bafe4e88e75a4c20a8bcca3bea4fcf1c |
| institution | OA Journals |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-bafe4e88e75a4c20a8bcca3bea4fcf1c2025-08-20T02:18:42ZengWileyAdvances 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2016/5246430 |
| work_keys_str_mv | AT abdourazeksouahi ontheexistenceanduniquenessforhighorderfuzzyfractionaldifferentialequationswithuncertainty AT assiaguezanelakoud ontheexistenceanduniquenessforhighorderfuzzyfractionaldifferentialequationswithuncertainty AT amarahitta ontheexistenceanduniquenessforhighorderfuzzyfractionaldifferentialequationswithuncertainty |