Analysis of Drude Model Using Fractional Derivatives Without Singular Kernels
| dc.contributor.author | Rosales Garcia, J. Juan | |
| dc.contributor.author | Ortega Contreras, Abraham | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Martinez Jimenez, Leonardo | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2019-12-18T12:03:46Z | |
| dc.date.accessioned | 2025-09-18T15:43:58Z | |
| dc.date.available | 2019-12-18T12:03:46Z | |
| dc.date.available | 2025-09-18T15:43:58Z | |
| dc.date.issued | 2017 | |
| dc.description | Martinez-Jimenez, Leonardo/0000-0002-7062-7154 | en_US |
| dc.description.abstract | We report study exploring the fractional Drude model in the time domain, using fractional derivatives without singular kernels, Caputo-Fabrizio (CF), and fractional derivatives with a stretched Mittag-Leffer function. It is shown that the velocity and current density of electrons moving through a metal depend on both the time and the fractional order 0 < gamma <= 1. Due to non-singular fractional kernels, it is possible to consider complete memory effects in the model, which appear neither in the ordinary model, nor in the fractional Drude model with Caputo fractional derivative. A comparison is also made between these two representations of the fractional derivatives, resulting a considered difference when gamma < 0.8. | en_US |
| dc.description.publishedMonth | 1 | |
| dc.description.sponsorship | DICIS, University of Guanajuato; CONACyT | en_US |
| dc.description.sponsorship | The authors acknowledge their fruitful discussion with I. Lyanzuridi. Also, the authors are thankful to DICIS, University of Guanajuato, for given support. Abraham Ortega acknowledges the support provided by CONACyT under the program: Graduate Scholarships. | en_US |
| dc.identifier.citation | Martinez Jimenez, Leonardo...et al. (2017). Analysis of Drude model using fractional derivatives without singular kernels, Open Physics, 15(1), 627-636. | en_US |
| dc.identifier.doi | 10.1515/phys-2017-0073 | |
| dc.identifier.issn | 2391-5471 | |
| dc.identifier.uri | https://doi.org/10.1515/phys-2017-0073 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14096 | |
| dc.language.iso | en | en_US |
| dc.publisher | de Gruyter Open Ltd | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Drude Model | en_US |
| dc.subject | Caputo-Fabrizio Derivative | en_US |
| dc.subject | Atangana-Baleanu Derivative | en_US |
| dc.title | Analysis of Drude Model Using Fractional Derivatives Without Singular Kernels | en_US |
| dc.title | Analysis of Drude model using fractional derivatives without singular kernels | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Martinez-Jimenez, Leonardo/0000-0002-7062-7154 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.wosid | Rosales, Juan/Gza-4531-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Martinez Jimenez, Leonardo; Rosales Garcia, J. Juan; Ortega Contreras, Abraham] Univ Guanajuato, Div Ingn, Campus Irapuato Salamanca, Guanajuato, Mexico; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 636 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 627 | en_US |
| gdc.description.volume | 15 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2768360884 | |
| gdc.identifier.wos | WOS:000417931400008 | |
| gdc.openalex.fwci | 0.49644013 | |
| gdc.openalex.normalizedpercentile | 0.65 | |
| gdc.opencitations.count | 4 | |
| gdc.plumx.crossrefcites | 3 | |
| gdc.plumx.mendeley | 7 | |
| gdc.plumx.scopuscites | 5 | |
| gdc.wos.citedcount | 4 | |
| 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 |