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 |
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| gdc.author.id | Ozarslan, Ramazan/0000-0002-2275-8061 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Bas, Erdal/P-6754-2019 | |
| gdc.author.wosid | Ozarslan, Ramazan/V-8131-2018 | |
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| 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 |
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| 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 | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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