Diffusion on Middle- Cantor Sets
| dc.contributor.author | Fernandez, Arran | |
| dc.contributor.author | Golmankhaneh, Ali Khalili | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Golmankhaneh, Alireza Khalili | |
| dc.date.accessioned | 2019-12-20T12:37:12Z | |
| dc.date.accessioned | 2025-09-18T12:05:07Z | |
| dc.date.available | 2019-12-20T12:37:12Z | |
| dc.date.available | 2025-09-18T12:05:07Z | |
| dc.date.issued | 2018 | |
| dc.description | Fernandez, Arran/0000-0002-1491-1820; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | en_US |
| dc.description.abstract | In 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.sponsorship | Engineering and Physical Sciences Research Council, UK | en_US |
| dc.description.sponsorship | The second author is on a PhD studentship which was funded by the Engineering and Physical Sciences Research Council, UK. | en_US |
| dc.identifier.citation | Golmankhaneh, Alireza Khalili; Fernandez, Arran; Golmankhaneh, Ali Khalili; et al. (2018). Diffusion on Middle- Cantor Sets, Entropy, 20(7). | en_US |
| dc.identifier.doi | 10.3390/e20070504 | |
| dc.identifier.issn | 1099-4300 | |
| dc.identifier.scopus | 2-s2.0-85050256038 | |
| dc.identifier.uri | https://doi.org/10.3390/e20070504 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10528 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Entropy | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Hausdorff Dimension | en_US |
| dc.subject | Middle- Cantor Sets | en_US |
| dc.subject | Staircase Function | en_US |
| dc.subject | C-Calculus | en_US |
| dc.subject | Diffusion On Fractal | en_US |
| dc.subject | Random Walk | en_US |
| dc.title | Diffusion on Middle- Cantor Sets | en_US |
| dc.title | Diffusion on Middle- Cantor Sets | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Fernandez, Arran/0000-0002-1491-1820 | |
| gdc.author.id | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Fernandez, Arran/E-7134-2019 | |
| gdc.author.wosid | Golmankhaneh, Alireza/L-1534-2013 | |
| gdc.author.wosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Golmankhaneh, Alireza Khalili] Islamic Azad Univ, Dept Phys, Urmia Branch, Orumiyeh, Iran; [Fernandez, Arran] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England; [Golmankhaneh, Ali Khalili] Islamic Azad Univ, Urmia Branch, Young Researchers & Elite Club, Orumiyeh, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, R-76900 Magurele, Romania | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 504 | |
| gdc.description.volume | 20 | en_US |
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| gdc.oaire.keywords | middle-ξ Cantor sets | |
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