Some New Dynamic Gronwall-Bellman Type Inequalities With Delay on Time Scales and Certain Applications
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | El-Deeb, Ahmed A. | |
| dc.date.accessioned | 2024-05-14T11:12:59Z | |
| dc.date.accessioned | 2025-09-18T12:06:44Z | |
| dc.date.available | 2024-05-14T11:12:59Z | |
| dc.date.available | 2025-09-18T12:06:44Z | |
| dc.date.issued | 2022 | |
| dc.description | Eldeeb, Ahmed/0000-0003-2822-4092 | en_US |
| dc.description.abstract | The main objective of the present article is to prove some new delay nonlinear dynamic inequalities of Gronwall-Bellman-Pachpatte type on time scales. We introduce very important generalized results with the help of Leibniz integral rule on time scales. For some specific time scales, we further show some relevant inequalities as special cases: integral inequalities and discrete inequalities. Our results can be used as handy tools for the study of qualitative and quantitative properties of solutions of dynamic equations on time scales. Some examples are provided to demonstrate the applications of the results. | en_US |
| dc.description.sponsorship | Projekt DEAL | en_US |
| dc.description.sponsorship | Open Access funding enabled and organized by Projekt DEAL. | en_US |
| dc.description.sponsorship | Al-Azhar University | |
| dc.identifier.citation | El-Deeb, Ahmed A.; Baleanu, Dumitru (2022). "Some new dynamic Gronwall-Bellman-Pachpatte type inequalities with delay on time scales and certain applications", Journal of Inequalities and Applications, Vol. 2022, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13660-022-02778-0 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.issn | 1025-5834 | |
| dc.identifier.scopus | 2-s2.0-85128317996 | |
| dc.identifier.uri | https://doi.org/10.1186/s13660-022-02778-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10967 | |
| 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 | Dynamic Gronwall Type Inequality | en_US |
| dc.subject | Time Scales | en_US |
| dc.subject | Leibniz Integral Rule On Time Scales | en_US |
| dc.title | Some New Dynamic Gronwall-Bellman Type Inequalities With Delay on Time Scales and Certain Applications | en_US |
| dc.title | Some new dynamic Gronwall-Bellman-Pachpatte type inequalities with delay on time scales and certain applications | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [El-Deeb, Ahmed A.] Al Azhar Univ, Dept Math, Fac Sci, Cairo 11884, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
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| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 2022 | en_US |
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