Discrete Fractional Diffusion Equation
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Zeng, Sheng-Da | |
| dc.contributor.author | Deng, Zhen-Guo | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2017-03-29T10:48:18Z | |
| dc.date.accessioned | 2025-09-18T12:10:19Z | |
| dc.date.available | 2017-03-29T10:48:18Z | |
| dc.date.available | 2025-09-18T12:10:19Z | |
| dc.date.issued | 2015 | |
| dc.description | Zeng, Shengda/0000-0003-1818-842X; Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | The tool of the discrete fractional calculus is introduced to discrete modeling of diffusion problem. A fractional time discretization diffusion model is presented in the Caputo-like delta's sense. The numerical formula is given in form of the equivalent summation. Then, the diffusion concentration is discussed for various fractional difference orders. The discrete fractional model is a fractionization of the classical difference equation and can be more suitable to depict the random or discrete phenomena compared with fractional partial differential equations. | en_US |
| dc.description.publishedMonth | 4 | |
| dc.description.sponsorship | National Natural Science Foundation of China [11301257]; Neijiang Normal University [13TD02]; Guangxi Natural Science Foundation [2013GXNSFBA019021]; Scientific Research Foundation of GuangXi University [XBZ120542] | en_US |
| dc.description.sponsorship | This work was financially supported by the National Natural Science Foundation of China (Grant No. 11301257), the Innovative Team Program of the Neijiang Normal University (Grant No. 13TD02), the Guangxi Natural Science Foundation (Grant No. 2013GXNSFBA019021), and the Scientific Research Foundation of GuangXi University (Grant No. XBZ120542). | en_US |
| dc.identifier.citation | Wu, G.C...et al. (2015). Discrete fractional diffusion equation. Nonlinear Dynamics, 80(1-2), 281-286. http://dx.doi.org/ 10.1007/s11071-014-1867-2 | en_US |
| dc.identifier.doi | 10.1007/s11071-014-1867-2 | |
| dc.identifier.issn | 0924-090X | |
| dc.identifier.issn | 1573-269X | |
| dc.identifier.scopus | 2-s2.0-84925507033 | |
| dc.identifier.uri | https://doi.org/10.1007/s11071-014-1867-2 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/11675 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Discrete Fractional Calculus | en_US |
| dc.subject | Discrete Anomalous Diffusion | en_US |
| dc.subject | Discrete Fractional Partial Difference Equations | en_US |
| dc.title | Discrete Fractional Diffusion Equation | en_US |
| dc.title | Discrete fractional diffusion equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Zeng, Shengda/0000-0003-1818-842X | |
| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 23390775700 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 55982308000 | |
| gdc.author.scopusid | 15843307100 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Zeng, Shengda/Abm-7231-2022 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng; Zeng, Sheng-Da] Neijiang Normal Univ, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Sichuan, Peoples R China; [Wu, Guo-Cheng] Neijiang Normal Univ, Inst Appl Nonlinear Sci, Coll Math & Informat Sci, Neijiang 641100, Sichuan, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Deng, Zhen-Guo] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Peoples R China | en_US |
| gdc.description.endpage | 286 | en_US |
| gdc.description.issue | 1-2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 281 | en_US |
| gdc.description.volume | 80 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2047015221 | |
| gdc.identifier.wos | WOS:000352695100022 | |
| gdc.openalex.fwci | 8.18321579 | |
| gdc.openalex.normalizedpercentile | 0.99 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 58 | |
| gdc.plumx.crossrefcites | 42 | |
| gdc.plumx.mendeley | 13 | |
| gdc.plumx.scopuscites | 81 | |
| gdc.scopus.citedcount | 81 | |
| gdc.wos.citedcount | 64 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |