Stability of Nonlinear Volterra Integro-Differential Equations With Caputo Fractional Derivative and Bounded Delays
| dc.contributor.author | Hristova, Snezhana | |
| dc.contributor.author | Tunc, Cemil | |
| dc.date.accessioned | 2025-05-10T16:58:21Z | |
| dc.date.available | 2025-05-10T16:58:21Z | |
| dc.date.issued | 2019 | |
| dc.description | Hristova, Snezhana/0000-0002-4922-641X; Tunc, Cemil/0000-0003-2909-8753 | en_US |
| dc.description.abstract | We use Lyapunov functions to study stability of the first-order Volterra integro-differential equation with Caputo fractional derivative (C)(t0)D(t)(q)x(t) = -a(t)f(x(t)) + integral(t-r) (t) B(t, s)g(s, x(s))ds + h(t, x(t), x(t-tau(t))). For the Lyapunov functions, we consider three types of fractional derivatives. By means of these derivatives, we obtain new sufficient conditions for stability and uniformly stability of solutions We consider both constant and time variable bounded delays, and illustrated our results with an example. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.scopus | 2-s2.0-85063531879 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/4227 | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State Univ | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Integro-Differential Equation | en_US |
| dc.subject | Delay | en_US |
| dc.subject | Lyapunov Functional | en_US |
| dc.subject | Stability | en_US |
| dc.title | Stability of Nonlinear Volterra Integro-Differential Equations With Caputo Fractional Derivative and Bounded Delays | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Hristova, Snezhana/0000-0002-4922-641X | |
| gdc.author.id | Tunc, Cemil/0000-0003-2909-8753 | |
| 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::journal::journal article | |
| 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 4000, Bulgaria; [Tunc, Cemil] Van Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000459338000001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |