Some Generalizations of Novel (Δ Backward Difference )<sup>δ</Sup>-gronwall-pachpatte Dynamic Inequalities on Time Scales With Applications
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | El-Deeb, Ahmed A. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2024-05-14T11:12:27Z | |
| dc.date.accessioned | 2025-09-18T12:10:23Z | |
| dc.date.available | 2024-05-14T11:12:27Z | |
| dc.date.available | 2025-09-18T12:10:23Z | |
| dc.date.issued | 2022 | |
| dc.description | Eldeeb, Ahmed/0000-0003-2822-4092 | en_US |
| dc.description.abstract | We established several novel inequalities of Gronwall-Pachpatte type on time scales. Our results can be used as handy tools to study the qualitative and quantitative properties of the solutions of the initial boundary value problem for a partial delay dynamic equation. The Leibniz integral rule on time scales has been used in the technique of our proof. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities. | en_US |
| dc.identifier.citation | El-Deeb, Ahmed A.; Baleanu, Dumitru (2022). "Some Generalizations of Novel (Δ backward difference )Δ-Gronwall-Pachpatte Dynamic Inequalities on Time Scales with Applications", Symmetry-Basel, Vol. 14, No. 9. | en_US |
| dc.identifier.doi | 10.3390/sym14091806 | |
| dc.identifier.issn | 2073-8994 | |
| dc.identifier.scopus | 2-s2.0-85138507488 | |
| dc.identifier.uri | https://doi.org/10.3390/sym14091806 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/11715 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| 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 | Some Generalizations of Novel (Δ Backward Difference )<sup>δ</Sup>-gronwall-pachpatte Dynamic Inequalities on Time Scales With Applications | en_US |
| dc.title | Some Generalizations of Novel (Δ backward difference )Δ-Gronwall-Pachpatte Dynamic Inequalities on Time Scales with Applications | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Eldeeb, Ahmed/0000-0003-2822-4092 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 56511757600 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | El-Deeb, Ahmed/Aaq-5910-2020 | |
| 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, Bucharest 077125, Romania; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey | 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.volume | 14 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W4294233742 | |
| gdc.identifier.wos | WOS:000856702300001 | |
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