Fractional Hamiltonian Systems: Nested Ellipsoids
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2025-05-11T17:03:50Z | |
| dc.date.available | 2025-05-11T17:03:50Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In this paper, we introduce a singular fractional-order Hamiltonian system with several spectral parameters. Using the inertia indices of the corresponding Hermitian forms we provide a lower bound for the number of linearly independent integrable-square solutions. Moreover, we introduce the Titchmarsh-Weyl function together with an intermediate theorem on the number of the integrable-square solutions. At the end of the paper, we show that 2-sequential and 4-sequential scalar fractional-order differential equations can be embedded into such Hamiltonian systems. | en_US |
| dc.description.sponsorship | Turkish Academy of Sciences, Turkey within the framework of the Outstanding Young Scientists Awards Program | en_US |
| dc.description.sponsorship | This study was supported by the Turkish Academy of Sciences, Turkey within the framework of the Outstanding Young Scientists Awards Program (TUBA-GEB & Idot;P 2023) . | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2025.116016 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85216591316 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2025.116016 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9621 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Weyl Theory | en_US |
| dc.subject | Fractional Order Derivatives | en_US |
| dc.subject | Hamiltonian Systems | en_US |
| dc.subject | Inertia Indices | en_US |
| dc.subject | Hermitian Forms | en_US |
| dc.title | Fractional Hamiltonian Systems: Nested Ellipsoids | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Ugurlu, Ekin | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ugurlu, Ekin] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkiye | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 192 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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