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Riesz potential versus fractional Laplacian

dc.contributor.authorOrtigueira, Manuel Duarte
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.contributor.authorMachado, José António Tenreiro
dc.date.accessioned2015-08-03T12:08:47Z
dc.date.available2015-08-03T12:08:47Z
dc.date.issued2014-09-30
dc.identifier.citationOrtigueira, M. D., Laleg-Kirati, T.-M., & Machado, J. A. T. (2014). Riesz potential versus fractional Laplacian. Journal of Statistical Mechanics: Theory and Experiment, 2014(9), P09032. doi:10.1088/1742-5468/2014/09/p09032
dc.identifier.issn17425468
dc.identifier.doi10.1088/1742-5468/2014/09/P09032
dc.identifier.urihttp://hdl.handle.net/10754/563748
dc.description.abstractThis paper starts by introducing the Grünwald-Letnikov derivative, the Riesz potential and the problem of generalizing the Laplacian. Based on these ideas, the generalizations of the Laplacian for 1D and 2D cases are studied. It is presented as a fractional version of the Cauchy-Riemann conditions and, finally, it is discussed with the n-dimensional Laplacian.
dc.description.sponsorshipThis work was partially funded by National Funds through the Foundation for Science and Technology of Portugal, under the project PEst-OE/EEI/UI0066/2011.
dc.publisherIOP Publishing
dc.subjectnonlinear dynamics
dc.titleRiesz potential versus fractional Laplacian
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journalJournal of Statistical Mechanics: Theory and Experiment
dc.contributor.institutionUNINOVA, Faculdade de Ciências e Tecnologia, UNL Campus Da FCT Da UNL, Quinta da TorreCaparica, Portugal
dc.contributor.institutionINESC-ID, New University of LisbonLisbon, Portugal
dc.contributor.institutionInstitute of Engineering, Polytechnic of Porto, Dept. of Electrical EngineeringPorto, Portugal
kaust.personLaleg-Kirati, Taous-Meriem


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