A Left-Definite Non-Integer-Order Dissipative Operator
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2026-06-05T09:16:20Z | |
| dc.date.available | 2026-06-05T09:16:20Z | |
| dc.date.issued | 2026 | |
| dc.description.abstract | In this paper we consider a non-integer (fractional)-order nonselfadjoint boundary-value problem so that the fractional-order equation is a kind of left-definite equation. We construct a dissipative operator in a Sobolev space H-1(a,b) and we introduce several results on the spectral properties of the related operators. In particular, we construct an inverse operator with the aid of the Dirac-delta function and we apply Krein's theorem to the inverse operator which is compact having a nuclear imaginary component. | |
| dc.description.sponsorship | Turkish Academy of Sciences within the framework of the Outstanding Young Scientists Awards Program (TUBA-GEBIP 2023) | |
| dc.description.sponsorship | This study was supported by the Turkish Academy of Sciences within the framework of the Outstanding Young Scientists Awards Program (TUBA-GEBIP 2023). | |
| dc.identifier.doi | 10.1007/s41478-026-01086-w | |
| dc.identifier.issn | 2367-2501 | |
| dc.identifier.issn | 0971-3611 | |
| dc.identifier.scopus | 2-s2.0-105038165066 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/16142 | |
| dc.identifier.uri | https://doi.org/10.1007/s41478-026-01086-w | |
| dc.language.iso | en | |
| dc.publisher | Springer Nature | |
| dc.relation.ispartof | Journal of Analysis | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Inverse Operators | |
| dc.subject | Completeness Theorem | |
| dc.subject | Fractional Boundary-Value Problems | |
| dc.subject | Dissipative Operators | |
| dc.subject | Dirac-Delta Function | |
| dc.title | A Left-Definite Non-Integer-Order Dissipative Operator | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Uğurlu, Ekin (36661368600) | |
| gdc.author.scopusid | 36661368600 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Çankaya University | |
| gdc.description.departmenttemp | [Ugurlu, Ekin] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06815 Ankara, Turkiye | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.woscitationindex | Emerging Sources Citation Index | |
| gdc.identifier.wos | WOS:001760670200001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| relation.isAuthorOfPublication.latestForDiscovery | 3ed3f5e7-664c-4705-8ea5-43fa2a1f53d3 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 0b9123e4-4136-493b-9ffd-be856af2cdb1 |