Δ-Gronwall Dynamic Inequalities and Their Applications on Time Scales
| dc.contributor.author | El-Deeb, Ahmed A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Awrejcewicz, Jan | |
| dc.date.accessioned | 2025-05-11T17:15:48Z | |
| dc.date.available | 2025-05-11T17:15:48Z | |
| dc.date.issued | 2022 | |
| dc.description | Eldeeb, Ahmed/0000-0003-2822-4092 | en_US |
| dc.description.abstract | In this article, with the help of Leibniz integral rule on time scales, we prove some new dynamic inequalities of Gronwall-Bellman-Pachpatte-type on time scales. These inequalities can be used as handy tools to study the qualitative and quantitative properties of solutions of the initial boundary value problem for partial delay dynamic equation. | en_US |
| dc.identifier.doi | 10.3390/sym14091804 | |
| dc.identifier.issn | 2073-8994 | |
| dc.identifier.scopus | 2-s2.0-85138574013 | |
| dc.identifier.uri | https://doi.org/10.3390/sym14091804 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9682 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Symmetry | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Gronwall'S Inequality | en_US |
| dc.subject | Dynamic Inequality | en_US |
| dc.subject | Time Scales | en_US |
| dc.subject | Leibniz Integral Rule On Time Scales | en_US |
| dc.title | Δ-Gronwall Dynamic Inequalities and Their Applications on Time Scales | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | Eldeeb, Ahmed/0000-0003-2822-4092 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Awrejcewicz, Jan/G-9123-2018 | |
| gdc.author.wosid | El-Deeb, Ahmed/Aaq-5910-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [El-Deeb, Ahmed A.] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Awrejcewicz, Jan] Lodz Univ Technol, Dept Automat Biomech & Mechatron, 1-15 Stefanowski St, PL-90924 Lodz, Poland | en_US |
| gdc.description.issue | 9 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1804 | |
| gdc.description.volume | 14 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Gronwall’s inequality; dynamic inequality; time scales; Leibniz integral rule on time scales | |
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