Analyzing the Stability of Fractal Delay Differential Equations
| dc.authorid | Tunc, Cemil/0000-0003-2909-8753 | |
| dc.authorid | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | |
| dc.authorscopusid | 25122552100 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorwosid | Tunç, Cemil/Afh-0945-2022 | |
| dc.authorwosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
| dc.contributor.author | Golmankhaneh, Alireza Khalili | |
| dc.contributor.author | Tunc, Cemil | |
| dc.date.accessioned | 2025-05-10T17:25:06Z | |
| dc.date.available | 2025-05-10T17:25:06Z | |
| dc.date.issued | 2024 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Golmankhaneh, Alireza Khalili] Islamic Azad Univ, Dept Phys, Urmia Branch, Orumiyeh 63896, West Azerbaija, Iran; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye | en_US |
| dc.description | Tunc, Cemil/0000-0003-2909-8753; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | en_US |
| dc.description.abstract | In this paper, we provide a comprehensive overview of fractal calculus and investigate the stability of both linear and non-linear fractal delay differential equations with fractal support. Our analysis encompasses the stability of the fractal Mackey-Glass equation as well as fractal differential equations with single and dual delays. Additionally, we introduce a predictor-corrector scheme to solve the fractal one-delay differential equation. Several examples are presented to illustrate the effects of fractal-order differentiation, which arise from the dimensionality of the fractal support, and the impact of fractal delays. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK) | en_US |
| dc.description.sponsorship | This research was completed with the support of the Scientific and Technological Research Council of Turkey (TUBITAK) (2221-Fellowships for Visiting Scientists and Scientists on Sabbatical Leave-2221-2024/2 period) when Alireza Khalili Golmankhaneh was a visiting scholar at Van Yuzuncu Yil University, Van, Turkey. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1016/j.chaos.2024.115492 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85203253695 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2024.115492 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/11284 | |
| dc.identifier.volume | 188 | en_US |
| dc.identifier.wos | WOS:001310821300001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractal Calculus | en_US |
| dc.subject | Fractal Delay Differential | en_US |
| dc.subject | Stability Of The Fractal Mackey-Glass | en_US |
| dc.subject | Predictor-Corrector Scheme | en_US |
| dc.title | Analyzing the Stability of Fractal Delay Differential Equations | en_US |
| dc.type | Article | en_US |