Brownian Motion on Cantor Sets
| dc.contributor.author | Ashrafi, Saleh | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Fernandez, Arran | |
| dc.contributor.author | Golmankhaneh, Ali Khalili | |
| dc.date.accessioned | 2020-05-17T12:27:34Z | |
| dc.date.accessioned | 2025-09-18T13:27:38Z | |
| dc.date.available | 2020-05-17T12:27:34Z | |
| dc.date.available | 2025-09-18T13:27:38Z | |
| dc.date.issued | 2020 | |
| dc.description | Ashrafi, Saleh/0000-0003-2426-3051 | en_US |
| dc.description.abstract | In this paper, we have investigated the Langevin and Brownian equations on fractal time sets using F-alpha-calculus and shown that the mean square displacement is not varied linearly with time. We have also generalized the classical method of deriving the Fokker Planck equation in order to obtain the Fokker-Planck equation on fractal time sets. | en_US |
| dc.identifier.citation | Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020). | en_US |
| dc.identifier.doi | 10.1515/ijnsns-2018-0384 | |
| dc.identifier.issn | 1565-1339 | |
| dc.identifier.issn | 2191-0294 | |
| dc.identifier.scopus | 2-s2.0-85078347234 | |
| dc.identifier.uri | https://doi.org/10.1515/ijnsns-2018-0384 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13001 | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter Gmbh | en_US |
| dc.relation.ispartof | International Journal of Nonlinear Sciences and Numerical Simulation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | F-Alpha-Calculus | en_US |
| dc.subject | Fokker-Planck Equation | en_US |
| dc.subject | Brownian Equation | en_US |
| dc.subject | Langevin Equation | en_US |
| dc.title | Brownian Motion on Cantor Sets | en_US |
| dc.title | Brownian Motion On Cantor Sets | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ashrafi, Saleh/0000-0003-2426-3051 | |
| gdc.author.scopusid | 57555731900 | |
| gdc.author.scopusid | 12796925800 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 57193722100 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Golmankhaneh, Alireza/L-1534-2013 | |
| gdc.author.wosid | Fernandez, Arran/E-7134-2019 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| 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 | [Fernandez, Arran] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge, England; [Fernandez, Arran] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, Via Mersin 10, Famagusta, Northern Cyprus, Turkey; [Golmankhaneh, Ali Khalili; Ashrafi, Saleh] Univ Tabriz, Dept Phys, Tabriz, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG 23, R-76900 Magurele, Romania | en_US |
| gdc.description.endpage | 281 | en_US |
| gdc.description.issue | 3-4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 275 | en_US |
| gdc.description.volume | 21 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2999772310 | |
| gdc.identifier.wos | WOS:000541915500005 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 2.0 | |
| gdc.oaire.influence | 2.5149876E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Langevin equation | |
| gdc.oaire.keywords | Fractals | |
| gdc.oaire.keywords | Brownian equation | |
| gdc.oaire.keywords | Fokker-Planck equation | |
| gdc.oaire.keywords | \(F^\alpha \)-calculus | |
| gdc.oaire.keywords | Diffusion processes | |
| gdc.oaire.popularity | 2.8521712E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.27226096 | |
| gdc.openalex.normalizedpercentile | 0.49 | |
| gdc.opencitations.count | 2 | |
| gdc.plumx.crossrefcites | 2 | |
| gdc.plumx.mendeley | 6 | |
| gdc.plumx.scopuscites | 3 | |
| gdc.publishedmonth | 1 | |
| gdc.scopus.citedcount | 3 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 2 | |
| 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 |