Razumikhin Qualitative Analyses of Volterra Integro-Fractional Delay Differential Equation With Caputo Derivatives
| dc.contributor.author | Graef, John R. | |
| dc.contributor.author | Tunc, Cemil | |
| dc.contributor.author | Sevli, Hamdullah | |
| dc.date.accessioned | 2025-05-10T17:14:04Z | |
| dc.date.available | 2025-05-10T17:14:04Z | |
| dc.date.issued | 2021 | |
| dc.description | Sevli, Hamdullah/0009-0003-0258-031X; Graef, John/0000-0002-8149-4633 | en_US |
| dc.description.abstract | A non-linear system of Volterra integro-fractional delay differential equations with Caputo fractional derivatives is considered. New sufficient conditions for uniform stability, asymptotic stability, and Mittag-Leffler stability of the zero solution of the unperturbed system, and the boundedness of all solutions of the perturbed system, are presented. The technique of proof involves the Razumikhin method with an appropriate Lyapunov function. For illustrative purposes, two examples are provided. (C) 2021 Published by Elsevier B.V. | en_US |
| dc.identifier.doi | 10.1016/j.cnsns.2021.106037 | |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.issn | 1878-7274 | |
| dc.identifier.scopus | 2-s2.0-85115021178 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2021.106037 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/8391 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Volterra Integro-Fractional Delay Differential Equations | en_US |
| dc.subject | Caputo Fractional Derivatives | en_US |
| dc.subject | Uniformly Stability | en_US |
| dc.subject | Asymptotically Stability | en_US |
| dc.subject | Mittag-Leffler Stability | en_US |
| dc.subject | Boundedness Of Solutions | en_US |
| dc.subject | Razumikhin Method | en_US |
| dc.title | Razumikhin Qualitative Analyses of Volterra Integro-Fractional Delay Differential Equation With Caputo Derivatives | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Sevli, Hamdullah/0009-0003-0258-031X | |
| gdc.author.id | Graef, John/0000-0002-8149-4633 | |
| gdc.author.scopusid | 7006790336 | |
| gdc.author.scopusid | 6603328862 | |
| gdc.author.scopusid | 15133029700 | |
| gdc.author.wosid | Tunç, Cemil/Afh-0945-2022 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Graef, John R.] Univ Tennessee Chattanooga, Dept Math, Chattanooga, TN 37403 USA; [Tunc, Cemil] Van Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey; [Sevli, Hamdullah] Van Yuzuncu Yil Univ, Dept Comp Engn, Fac Engn, TR-65080 Van, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 103 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:000705442800001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |