Representation of Solutions for Sturm-Liouville Eigenvalue Problems With Generalized Fractional Derivative
| dc.contributor.author | Bas, Erdal | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ozarslan, Ramazan | |
| dc.date.accessioned | 2021-02-01T11:17:46Z | |
| dc.date.accessioned | 2025-09-18T12:10:06Z | |
| dc.date.available | 2021-02-01T11:17:46Z | |
| dc.date.available | 2025-09-18T12:10:06Z | |
| dc.date.issued | 2020 | |
| dc.description | Ozarslan, Ramazan/0000-0002-2275-8061 | en_US |
| dc.description.abstract | We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the representation of solutions by means of rho-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different alpha fractional orders and real rho values. Published under license by AIP Publishing. | en_US |
| dc.identifier.citation | Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru (2020). "Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative", Chaos, Vol. 30, No. 3. | en_US |
| dc.identifier.doi | 10.1063/1.5131167 | |
| dc.identifier.issn | 1054-1500 | |
| dc.identifier.issn | 1089-7682 | |
| dc.identifier.scopus | 2-s2.0-85082709024 | |
| dc.identifier.uri | https://doi.org/10.1063/1.5131167 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11619 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Physics | en_US |
| dc.relation.ispartof | Chaos: An Interdisciplinary Journal of Nonlinear Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Representation of Solutions for Sturm-Liouville Eigenvalue Problems With Generalized Fractional Derivative | en_US |
| dc.title | Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ozarslan, Ramazan/0000-0002-2275-8061 | |
| gdc.author.scopusid | 57190940613 | |
| gdc.author.scopusid | 55562144500 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Bas, Erdal/P-6754-2019 | |
| gdc.author.wosid | Ozarslan, Ramazan/V-8131-2018 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ozarslan, Ramazan; Bas, Erdal] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 30 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3012690732 | |
| gdc.identifier.pmid | 32237772 | |
| gdc.identifier.wos | WOS:000522038700001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.index.type | PubMed | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 11.0 | |
| gdc.oaire.influence | 3.0499432E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Sturm-Liouville theory | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.popularity | 8.543632E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.3789 | |
| gdc.openalex.normalizedpercentile | 0.67 | |
| gdc.opencitations.count | 11 | |
| gdc.plumx.crossrefcites | 9 | |
| gdc.plumx.mendeley | 5 | |
| gdc.plumx.pubmedcites | 1 | |
| gdc.plumx.scopuscites | 12 | |
| gdc.publishedmonth | 3 | |
| gdc.scopus.citedcount | 12 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 14 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |