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Discrete fractional diffusion equation

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dc.authoridZeng, Shengda/0000-0003-1818-842X
dc.authoridWu, Guo-Cheng/0000-0002-1946-6770
dc.authorscopusid23390775700
dc.authorscopusid7005872966
dc.authorscopusid55982308000
dc.authorscopusid15843307100
dc.authorwosidBaleanu, Dumitru/B-9936-2012
dc.authorwosidZeng, Shengda/Abm-7231-2022
dc.authorwosidWu, Guo-Cheng/T-9088-2017
dc.contributor.authorWu, Guo-Cheng
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorZeng, Sheng-Da
dc.contributor.authorDeng, Zhen-Guo
dc.date.accessioned2017-03-29T10:48:18Z
dc.date.available2017-03-29T10:48:18Z
dc.date.issued2015
dc.departmentÇankaya Universityen_US
dc.department-temp[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 Chinaen_US
dc.descriptionZeng, Shengda/0000-0003-1818-842X; Wu, Guo-Cheng/0000-0002-1946-6770en_US
dc.description.abstractThe 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.publishedMonth4
dc.description.sponsorshipNational 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.sponsorshipThis 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.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationWu, G.C...et al. (2015). Discrete fractional diffusion equation. Nonlinear Dynamics, 80(1-2), 281-286. http://dx.doi.org/ 10.1007/s11071-014-1867-2en_US
dc.identifier.doi10.1007/s11071-014-1867-2
dc.identifier.endpage286en_US
dc.identifier.issn0924-090X
dc.identifier.issn1573-269X
dc.identifier.issue1-2en_US
dc.identifier.scopus2-s2.0-84925507033
dc.identifier.scopusqualityQ1
dc.identifier.startpage281en_US
dc.identifier.urihttps://doi.org/10.1007/s11071-014-1867-2
dc.identifier.volume80en_US
dc.identifier.wosWOS:000352695100022
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDiscrete Fractional Calculusen_US
dc.subjectDiscrete Anomalous Diffusionen_US
dc.subjectDiscrete Fractional Partial Difference Equationsen_US
dc.titleDiscrete fractional diffusion equationtr_TR
dc.titleDiscrete Fractional Diffusion Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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