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Lattice fractional diffusion equation in terms of a Riesz-Caputo difference

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dc.contributor.author Wu, Guo-Cheng
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Deng, Zhen-Guo
dc.contributor.author Zeng, Sheng-Da
dc.date.accessioned 2017-03-29T08:54:27Z
dc.date.available 2017-03-29T08:54:27Z
dc.date.issued 2015-11-15
dc.identifier.citation Wu, G.C...et al. (2015). Lattice fractional diffusion equation in terms of a Riesz-Caputo difference. Physica A-Statistical Mechanics And Its Applications, 438, 335-339. http://dx.doi.org/10.1016/j.physa.2015.06.024 tr_TR
dc.identifier.issn 0378-4371
dc.identifier.uri http://hdl.handle.net/20.500.12416/1508
dc.description.abstract A fractional difference is defined by the use of the right and the left Caputo fractional differences. The definition is a two-sided operator of Riesz type and introduces back and forward memory effects in space difference. Then, a fractional difference equation method is suggested for anomalous diffusion in discrete finite domains. A lattice fractional diffusion equation is proposed and the numerical simulation of the diffusion process is discussed for various difference orders. The result shows that the Riesz difference model is particularly suitable for modeling complicated dynamical behaviors on discrete media tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier Science Bv tr_TR
dc.relation.isversionof 10.1016/j.physa.2015.06.024 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Discrete Fractional Calculus tr_TR
dc.subject Riesz-Caputo Difference tr_TR
dc.subject Fractional Partial Difference Equations tr_TR
dc.title Lattice fractional diffusion equation in terms of a Riesz-Caputo difference tr_TR
dc.type article tr_TR
dc.relation.journal Physica A-Statistical Mechanics And Its Applications tr_TR
dc.identifier.volume 438 tr_TR
dc.identifier.startpage 335 tr_TR
dc.identifier.endpage 339 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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