A Gronwall Inequality Via the Generalized Proportional Fractional Derivative With Applications
| dc.contributor.author | Sudsutad, Weerawat | |
| dc.contributor.author | Alzabut, Jehad | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Jarad, Fahd | |
| dc.date.accessioned | 2020-01-13T11:31:22Z | |
| dc.date.accessioned | 2025-09-18T14:10:39Z | |
| dc.date.available | 2020-01-13T11:31:22Z | |
| dc.date.available | 2025-09-18T14:10:39Z | |
| dc.date.issued | 2019 | |
| dc.description | Jarad, Fahd/0000-0002-3303-0623; Sudsutad, Weerawat/0000-0002-6762-813X; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | en_US |
| dc.description.abstract | In this paper, we provide a new version for the Gronwall inequality in the frame of the generalized proportional fractional derivative. Prior to the main results, we introduce the generalized proportional fractional derivative and expose some of its features. As an application, we accommodate the newly defined derivative to prove the uniqueness and obtain a bound in terms of Mittag-Leffler function for the solutions of a nonlinear delay proportional fractional system. An example is presented to demonstrate the applicability of the theory. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The first and second authors would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM), group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Alzabut, Jehad...et al. (2019). "A Gronwall inequality via the generalized proportional fractional derivative with applications", Journal of Inequalities and Applications. | en_US |
| dc.identifier.doi | 10.1186/s13660-019-2052-4 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.scopus | 2-s2.0-85064331418 | |
| dc.identifier.uri | https://doi.org/10.1186/s13660-019-2052-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13756 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Journal of Inequalities and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Proportional Gronwall Inequality | en_US |
| dc.subject | Uniqueness Of Solution | en_US |
| dc.subject | Delay Proportional Fractional System | en_US |
| dc.subject | Bound For The Solution | en_US |
| dc.title | A Gronwall Inequality Via the Generalized Proportional Fractional Derivative With Applications | en_US |
| dc.title | A Gronwall inequality via the generalized proportional fractional derivative with applications | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Sudsutad, Weerawat/0000-0002-6762-813X | |
| gdc.author.id | Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| 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 | [Alzabut, Jehad; Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey; [Sudsutad, Weerawat] Navamindradhiraj Univ, Dept Gen Educ, Bangkok, Thailand | en_US |
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| gdc.oaire.keywords | Delay proportional fractional system | |
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| gdc.oaire.keywords | delay proportional fractional system | |
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| gdc.virtual.author | Alzabut, Jehad | |
| gdc.virtual.author | Abdeljawad, Thabet | |
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