Qualitative Analyses of Integro-Fractional Differential Equations With Caputo Derivatives and Retardations Via the Lyapunov-Razumikhin Method
| dc.contributor.author | Tunc, Osman | |
| dc.contributor.author | Atan, Ozkan | |
| dc.contributor.author | Tunc, Cemil | |
| dc.contributor.author | Yao, Jen-Chih | |
| dc.date.accessioned | 2025-05-10T17:20:53Z | |
| dc.date.available | 2025-05-10T17:20:53Z | |
| dc.date.issued | 2021 | |
| dc.description | Tunc, Cemil/0000-0003-2909-8753 | en_US |
| dc.description.abstract | The purpose of this paper is to investigate some qualitative properties of solutions of nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo fractional derivatives. These properties include uniform stability, asymptotic stability, Mittag-Leffer stability and boundedness. The presented results are proved by defining an appropriate Lyapunov function and applying the Lyapunov-Razumikhin method (LRM). Hence, some results that are available in the literature are improved for the FrRIDEs and obtained under weaker conditions via the advantage of the LRM. In order to illustrate the results, two examples are provided. | en_US |
| dc.description.sponsorship | [MOST 108-2115-M-039-005-MY3] | en_US |
| dc.description.sponsorship | The research of J. C. Yao was partially supported by the Grant MOST 108-2115-M-039-005-MY3. | en_US |
| dc.identifier.doi | 10.3390/axioms10020058 | |
| dc.identifier.issn | 2075-1680 | |
| dc.identifier.scopus | 2-s2.0-85104673386 | |
| dc.identifier.uri | https://doi.org/10.3390/axioms10020058 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/10220 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Nonlinear Fractional Retarded Integro-Differential Equations | en_US |
| dc.subject | Uniform Stability | en_US |
| dc.subject | Asymptotic Stability | en_US |
| dc.subject | Mittag-Leffer Stability | en_US |
| dc.subject | Boundedness | en_US |
| dc.subject | Lyapunov-Razumikhin Method | en_US |
| dc.title | Qualitative Analyses of Integro-Fractional Differential Equations With Caputo Derivatives and Retardations Via the Lyapunov-Razumikhin Method | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Tunc, Cemil/0000-0003-2909-8753 | |
| gdc.author.scopusid | 56638410400 | |
| gdc.author.scopusid | 37030525400 | |
| gdc.author.scopusid | 6603328862 | |
| gdc.author.scopusid | 55508684300 | |
| gdc.author.wosid | Atan, Özkan/Aac-3063-2021 | |
| gdc.author.wosid | Tunç, Osman/Gre-9544-2022 | |
| gdc.author.wosid | Yao, Jen-Chih/A-9636-2013 | |
| gdc.author.wosid | Tunç, Cemil/Afh-0945-2022 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Tunc, Osman] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programing, TR-65080 Van, Turkey; [Atan, Ozkan] Van Yuzuncu Yil Univ, Fac Engn, Dept Elect Elect Engn, TR-65080 Van, Turkey; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Yao, Jen-Chih] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 406, Taiwan | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.volume | 10 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000665191200001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |