A Generalized Q-Fractional Gronwall Inequality and Its Applications To Nonlinear Delay Q-Fractional Difference Systems
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Alzabut, Jehad | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2018-09-26T12:44:13Z | |
| dc.date.accessioned | 2025-09-18T16:08:04Z | |
| dc.date.available | 2018-09-26T12:44:13Z | |
| dc.date.available | 2025-09-18T16:08:04Z | |
| dc.date.issued | 2016 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | en_US |
| dc.description.abstract | In this paper, we state and prove a new discrete q-fractional version of the Gronwall inequality. Based on this result, a particular version expressed by means of the q-Mittag-Leffler function is provided. To apply the proposed results, we prove the uniqueness and obtain an estimate for the solutions of nonlinear delay Caputo q-fractional difference system. We examine our results by providing a numerical example. | en_US |
| dc.identifier.citation | Abdeljawad, T., Alzabut, J., Baleanu, D. (2016). A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems. Journal Of Inequalities Applications. http://dx.doi.org/ 10.1186/s13660-016-1181-2 | en_US |
| dc.identifier.doi | 10.1186/s13660-016-1181-2 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.scopus | 2-s2.0-84989915687 | |
| dc.identifier.uri | https://doi.org/10.1186/s13660-016-1181-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14953 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Journal of Inequalities and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Generalized Q-Fractional Gronwall Inequality | en_US |
| dc.subject | Delay Q-Fractional Difference System | en_US |
| dc.subject | Uniqueness Of Solution | en_US |
| dc.subject | Estimate For The Solution | en_US |
| dc.title | A Generalized Q-Fractional Gronwall Inequality and Its Applications To Nonlinear Delay Q-Fractional Difference Systems | en_US |
| dc.title | A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| gdc.author.id | Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Alzabut, Prof. Dr. Jehad/T-8075-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet; Alzabut, Jehad] Prince Sultan Univ, Dept Math & Phys Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
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| gdc.oaire.keywords | delay q-fractional difference system | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Gronwall's inequality | |
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| gdc.oaire.keywords | \(q\)-Mittag-Leffler function | |
| gdc.oaire.keywords | Difference equations, scaling (\(q\)-differences) | |
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| gdc.oaire.keywords | Other analytical inequalities | |
| gdc.oaire.keywords | numerical example | |
| gdc.oaire.keywords | nonlinear delay Caputo \(q\)-fractional difference system | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.virtual.author | Alzabut, Jehad | |
| gdc.virtual.author | Baleanu, Dumitru | |
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