On the Stability Properties of Retarded Volterra Integro-Fractional Differential Equations With Caputo Derivative
| dc.contributor.author | Hristova, Snezhana | |
| dc.contributor.author | Tunc, Cemil | |
| dc.date.accessioned | 2025-05-10T17:10:27Z | |
| dc.date.available | 2025-05-10T17:10:27Z | |
| dc.date.issued | 2021 | |
| dc.description | Hristova, Snezhana/0000-0002-4922-641X | en_US |
| dc.description.abstract | In this paper, the direct Lyapunov method is extended to fractional case of Volterra integro-Caputo fractional differential equations with delays. Two types of homogeneous scalar Voterra integro-Caputo fractional differential equations with delays are studied. Three types of fractional derivatives of Lyapunov functions known in the literature are given. Uniform stability of trivial solution of that retarded IFrDEs is investigated using the Razumikhin method and different types of fractional derivatives of Lyapunov functions. Examples to show the application of the theorems are provided. | en_US |
| dc.description.sponsorship | Bulgarian National Science Fund [KP-06-N32/7] | en_US |
| dc.description.sponsorship | The research is supported by the Bulgarian National Science Fund under Project KP-06-N32/7. | en_US |
| dc.identifier.doi | 10.1063/5.0040076 | |
| dc.identifier.isbn | 9780735440654 | |
| dc.identifier.issn | 0094-243X | |
| dc.identifier.scopus | 2-s2.0-85101842337 | |
| dc.identifier.uri | https://doi.org/10.1063/5.0040076 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/7421 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Physics | en_US |
| dc.relation.ispartof | 7th International Conference on New Trends in the Applications of Differential Equations in Sciences (NTADES) -- SEP 01-04, 2020 -- St Constantin and Helena, BULGARIA | en_US |
| dc.relation.ispartofseries | AIP Conference Proceedings | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | On the Stability Properties of Retarded Volterra Integro-Fractional Differential Equations With Caputo Derivative | en_US |
| dc.type | Conference Object | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Hristova, Snezhana/0000-0002-4922-641X | |
| gdc.author.scopusid | 6603919956 | |
| gdc.author.scopusid | 6603328862 | |
| gdc.author.wosid | Tunç, Cemil/Afh-0945-2022 | |
| gdc.author.wosid | Hristova, Snezhana/B-6298-2009 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::conference output | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Hristova, Snezhana] Univ Plovdiv Paisii Hilendarski, Dept Appl Math & Modeling, Plovdiv, Bulgaria; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkey | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.volume | 2321 | en_US |
| gdc.description.woscitationindex | Conference Proceedings Citation Index - Science | |
| gdc.description.wosquality | N/A | |
| gdc.identifier.wos | WOS:000664136600002 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |