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Diffusion on Middle- Cantor Sets

dc.contributor.authorGolmankhaneh, Alireza K.
dc.contributor.authorFernandez, Arran
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-20T12:37:12Z
dc.date.available2019-12-20T12:37:12Z
dc.date.issued2018
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractIn this paper, we study C-calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological dimensions. Functions with fractal support are not differentiable or integrable in terms of standard calculus, so we must involve local fractional derivatives. We have generalized the C-calculus on the generalized Cantor sets known as middle- Cantor sets. We have suggested a calculus on the middle- Cantor sets for different values of with 0<<1. Differential equations on the middle- Cantor sets have been solved, and we have presented the results using illustrative examples. The conditions for super-, normal, and sub-diffusion on fractal sets are given.en_US
dc.description.publishedMonth7
dc.identifier.citationGolmankhaneh, Alireza Khalili; Fernandez, Arran; Golmankhaneh, Ali Khalili; et al. (2018). Diffusion on Middle- Cantor Sets, Entropy, 20(7).en_US
dc.identifier.doi1.79769313486232E+308
dc.identifier.issn1099-4300
dc.identifier.issue7en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2235
dc.identifier.volume20en_US
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.ispartofEntropyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHausdorff Dimensionen_US
dc.subjectMiddle- Cantor Setsen_US
dc.subjectStaircase Functionen_US
dc.subjectC-Calculusen_US
dc.subjectDiffusion on Fractalen_US
dc.subjectRandom Walken_US
dc.titleDiffusion on Middle- Cantor Setstr_TR
dc.titleDiffusion on Middle- Cantor Setsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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