The Q-Fractional Analogue for Gronwall-Type Inequality
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Alzabut, Jehad O. | |
| dc.date.accessioned | 2020-04-03T22:56:20Z | |
| dc.date.accessioned | 2025-09-18T12:04:42Z | |
| dc.date.available | 2020-04-03T22:56:20Z | |
| dc.date.available | 2025-09-18T12:04:42Z | |
| dc.date.issued | 2013 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | en_US |
| dc.description.abstract | We utilize q-fractional Caputo initial value problems of order 0 < alpha <= 1 to derive a.. -analogue for Gronwall-type inequality. Some particular cases are derived where q-Mittag-Leffler functions and q-exponential type functions are used. An example is given to illustrate the validity of the derived inequality. | en_US |
| dc.identifier.citation | Abdeljawad, Thabet; Alzabut, Jehad O. "The q-Fractional Analogue for Gronwall-Type Inequality", Journal of Function Spaces and Applications, (2013) | en_US |
| dc.identifier.doi | 10.1155/2013/543839 | |
| dc.identifier.issn | 2090-8997 | |
| dc.identifier.issn | 0972-6802 | |
| dc.identifier.issn | 1758-4965 | |
| dc.identifier.scopus | 2-s2.0-84884897192 | |
| dc.identifier.uri | https://doi.org/10.1155/2013/543839 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10422 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Publishing Corporation | en_US |
| dc.relation.ispartof | Journal of Function Spaces and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | The Q-Fractional Analogue for Gronwall-Type Inequality | en_US |
| dc.title | The Q-Fractional Analogue for Gronwall-Type Inequality | 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 | 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] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Abdeljawad, Thabet; Alzabut, Jehad O.] Prince Sultan Univ, Dept Math & Phys Sci, Riyadh 11586, Saudi Arabia | en_US |
| gdc.description.endpage | 7 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 2013 | |
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| gdc.oaire.keywords | Difference equations, scaling (\(q\)-differences) | |
| gdc.oaire.keywords | Mittag-Leffler functions and generalizations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
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