Existence and Uniqueness Results for Fractional Differential Equations With Uncertainty
| dc.contributor.author | Allahviranloo, T. | |
| dc.contributor.author | Abbasbandy, S. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Salahshour, S. | |
| dc.date.accessioned | 2020-04-08T21:43:55Z | |
| dc.date.accessioned | 2025-09-18T14:10:06Z | |
| dc.date.available | 2020-04-08T21:43:55Z | |
| dc.date.available | 2025-09-18T14:10:06Z | |
| dc.date.issued | 2012 | |
| dc.description | Salahshour, Soheil/0000-0003-1390-3551; Allahviranloo, Tofigh/0000-0002-6673-3560 | en_US |
| dc.description.abstract | In this paper, we study the existence, uniqueness and approximate solutions of fuzzy fractional differential equations (FFDEs) under Caputo's H-differentiability. To this end, the concept of Riemann-Liouville's H-differentiability is introduced, and subsequently, the Caputo's H-differentiability is proposed. Moreover, the related fuzzy Volterra integral forms of FFDEs are obtained which are applied to construct two converge consequences of fuzzy-valued functions as approximated solutions of FFDEs. | en_US |
| dc.identifier.citation | Salahshour, S...et al. (2012). "Existence and uniqueness results for fractional differential equations with uncertainty", Advances In Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2012-112 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2012-112 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13575 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fuzzy Fractional Differential Equations (Ffdes) | en_US |
| dc.subject | Riemann-Liouville'S H-Differentiability | en_US |
| dc.subject | Caputo'S H-Differentiability | en_US |
| dc.title | Existence and Uniqueness Results for Fractional Differential Equations With Uncertainty | en_US |
| dc.title | Existence and Uniqueness Results for Fractional Differential Equations With Uncertainty | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Salahshour, Soheil/0000-0003-1390-3551 | |
| gdc.author.id | Allahviranloo, Tofigh/0000-0002-6673-3560 | |
| gdc.author.wosid | Allahviranloo, Tofigh/V-4843-2019 | |
| gdc.author.wosid | Salahshour, Soheil/K-4817-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Abbasbandy, Saeid/E-7246-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Salahshour, S.] Islamic Azad Univ, Mobarakeh Branch, Young Researchers Club, Mobarakeh, Iran; [Allahviranloo, T.; Abbasbandy, S.] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran; [Baleanu, D.] Cakaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2012 | |
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| gdc.oaire.keywords | Statistics and Probability | |
| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Fuzzy Differential Equations and Uncertainty Modeling | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Riemann-Liouville's H-differentiability | |
| gdc.oaire.keywords | Caputo's H-differentiability | |
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