Qualitative Analysis of the Prabhakar-Caputo Type Fractional Delayed Equations
| dc.authorwosid | Mahmudov, Nazim/G-4029-2013 | |
| dc.contributor.author | Aydin, M. | |
| dc.contributor.author | Mahmudov, N. I. | |
| dc.date.accessioned | 2025-06-01T20:03:30Z | |
| dc.date.available | 2025-06-01T20:03:30Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Aydin, M.] Van Yuzuncu Yil Univ, Muradiye Vocat Sch, Dept Med Serv & Tech, Van, Turkiye; [Mahmudov, N. I.] Eastern Mediterranean Univ, Dept Math, Famagusta, Turkiye; [Mahmudov, N. I.] Azerbaijan State Univ Econ UNEC, Res Ctr Econophys, Baku, Azerbaijan | en_US |
| dc.description.abstract | The representation of an explicit solution to the Prabhakar fractional differential delayed system is studied employing the far-famed Laplace transform technique. Second, the existence uniqueness of the solution is debated together with the Ulam-Hyers stability of a semilinear Prabhakar fractional differential delayed system. Thirdly, the necessary and sufficient circumstances for the controllability of linear Prabhakar fractional differential delayed system are determined by describing the Gramian matrix. A sufficient circumstance for the relative controllability of a semilinear Prabhakar fractional differential delayed system is studied via the Krasnoselskii's fixed point theorem. Numerical examples are offered to verify the theoretical findings. | en_US |
| dc.description.sponsorship | Scientific Research Projects Coordination Unit, Van Yuzuncu Yil University [10837, FYD-2023-10837] | en_US |
| dc.description.sponsorship | We want to thank the Scientific Research Projects Coordination Unit, Van Yuzuncu Yil University for supporting this study produced by Project ID: 10837, Project Code: FYD-2023-10837. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.30546/2219-1259.16.1.2025.115 | |
| dc.identifier.endpage | 136 | en_US |
| dc.identifier.issn | 2076-2585 | |
| dc.identifier.issn | 2219-1259 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 115 | en_US |
| dc.identifier.uri | https://doi.org/10.30546/2219-1259.16.1.2025.115 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/24990 | |
| dc.identifier.volume | 16 | en_US |
| dc.identifier.wos | WOS:001484647900008 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Inst Applied Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Prabhakar Fractional Derivative | en_US |
| dc.subject | Differential Delayed Equation | en_US |
| dc.subject | Existence Uniqueness | en_US |
| dc.subject | Stability And Controllability | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.title | Qualitative Analysis of the Prabhakar-Caputo Type Fractional Delayed Equations | en_US |
| dc.type | Article | en_US |