Riesz Riemann-Liouville Difference on Discrete Domains
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Xie, He-Ping | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.date.accessioned | 2017-04-24T08:40:48Z | |
| dc.date.accessioned | 2025-09-18T13:27:54Z | |
| dc.date.available | 2017-04-24T08:40:48Z | |
| dc.date.available | 2025-09-18T13:27:54Z | |
| dc.date.issued | 2016 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770; Xie, Heping/0000-0002-1686-7827 | en_US |
| dc.description.abstract | A Riesz difference is defined by the use of the Riemann-Liouville differences on time scales. Then the definition is considered for discrete fractional modelling. A lattice fractional equation method is proposed among which the space variable is defined on discrete domains. Finite memory effects are introduced into the lattice system and the numerical formulae are given. Adomian decomposition method is adopted to solve the fractional partial difference equations numerically. Published by AIP Publishing. | en_US |
| dc.description.sponsorship | NSFC [11301257, 51254002, 21336004, 2013BAC12B03] | en_US |
| dc.description.sponsorship | The study was financially supported by the NSFC (Grant Nos. 11301257, 51254002, 21336004, and 2013BAC12B03). | en_US |
| dc.identifier.citation | Wu, G.C., Baleanu, D., Xie, H.P. (2016). Riesz Riemann-Liouville difference on discrete domains. Chaos, 26(8). http://dx.doi.org/10.1063/1.4958920 | en_US |
| dc.identifier.doi | 10.1063/1.4958920 | |
| dc.identifier.issn | 1054-1500 | |
| dc.identifier.issn | 1089-7682 | |
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| dc.identifier.uri | https://doi.org/10.1063/1.4958920 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13068 | |
| dc.language.iso | en | en_US |
| dc.publisher | Aip Publishing | en_US |
| dc.relation.ispartof | Chaos: An Interdisciplinary Journal of Nonlinear Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Riesz Riemann-Liouville Difference on Discrete Domains | en_US |
| dc.title | Riesz Riemann-Liouville difference on discrete domains | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
| gdc.author.id | Xie, Heping/0000-0002-1686-7827 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China; [Wu, Guo-Cheng] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Xie, He-Ping] Sichuan Univ, Coll Water Resource & Hydropower, Chengdu 610065, Peoples R China | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 26 | en_US |
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| gdc.oaire.keywords | Liouville equation | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | partial differential equations | |
| gdc.oaire.keywords | Discrete version of topics in analysis | |
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