Brownian Motion on Cantor Sets

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dc.contributor.authorGolmankhaneh, Ali Khalili
dc.contributor.authorAshrafi, Saleh
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorFernandez, Arran
dc.date.accessioned2026-02-06T18:26:28Z
dc.date.issued2020
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn 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.
dc.identifier.doi10.1515/ijnsns-2018-0384
dc.identifier.endpage281
dc.identifier.issn1565-1339
dc.identifier.issn2191-0294
dc.identifier.issue3-4
dc.identifier.orcid0000-0003-2426-3051
dc.identifier.scopus2-s2.0-85078347234
dc.identifier.scopusqualityQ2
dc.identifier.startpage275
dc.identifier.urihttps://doi.org/10.1515/ijnsns-2018-0384
dc.identifier.urihttps://hdl.handle.net/11129/10487
dc.identifier.volume21
dc.identifier.wosWOS:000541915500005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWalter De Gruyter Gmbh
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectF-alpha-calculus
dc.subjectFokker-Planck equation
dc.subjectBrownian equation
dc.subjectLangevin equation
dc.titleBrownian Motion on Cantor Sets
dc.typeArticle

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