New Derivatives on the Fractal Subset of Real-Line
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Golmankhaneh, Alireza Khalili | |
| dc.date.accessioned | 2017-04-19T07:40:28Z | |
| dc.date.accessioned | 2025-09-18T12:08:41Z | |
| dc.date.available | 2017-04-19T07:40:28Z | |
| dc.date.available | 2025-09-18T12:08:41Z | |
| dc.date.issued | 2016 | |
| dc.description | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | en_US |
| dc.description.abstract | In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets. The non-local Laplace transformation is given and applied for solving linear and non-linear fractal equations. The advantage of using these new nonlocal derivatives on the fractals subset of real-line lies in the fact that they are better at modeling processes with memory effect. | en_US |
| dc.identifier.citation | Golmankhaneh, A.R., Baleanu, D. (2016). New derivatives on the fractal subset of real-line. Entropy, 18(2). http://dx.doi.org/10.3390/e18020001 | en_US |
| dc.identifier.doi | 10.3390/e18020001 | |
| dc.identifier.issn | 1099-4300 | |
| dc.identifier.scopus | 2-s2.0-84960419770 | |
| dc.identifier.uri | https://doi.org/10.3390/e18020001 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11178 | |
| 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 | Memory Processes | en_US |
| dc.subject | Generalized Mittag-Leffler Function | en_US |
| dc.subject | Generalized Gamma Function | en_US |
| dc.subject | Generalized Beta Function | en_US |
| dc.subject | Fractal Calculus | en_US |
| dc.subject | Triadic Cantor Set | en_US |
| dc.subject | Non-Local Laplace Transformation | en_US |
| dc.title | New Derivatives on the Fractal Subset of Real-Line | en_US |
| dc.title | New derivatives on the fractal subset of real-line | tr_TR |
| dc.type | Article | en_US |
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| 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 | 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, Urmia Branch, Dept Phys, Coll Sci, Orumiyeh, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, R-76900 Magurele, Romania | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 18 | en_US |
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| gdc.oaire.keywords | memory processes | |
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| gdc.oaire.keywords | fractal calculus; triadic Cantor set; non-local Laplace transformation; memory processes; generalized Mittag-Leffler function; generalized gamma function; generalized beta function | |
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| gdc.oaire.keywords | Mathematics - Classical Analysis and ODEs | |
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