Riesz potential versus fractional Laplacian
dc.contributor.author | Ortigueira, Manuel Duarte | |
dc.contributor.author | Laleg-Kirati, Taous-Meriem | |
dc.contributor.author | Machado, José António Tenreiro | |
dc.date.accessioned | 2015-08-03T12:08:47Z | |
dc.date.available | 2015-08-03T12:08:47Z | |
dc.date.issued | 2014-09-30 | |
dc.identifier.citation | Ortigueira, 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.issn | 17425468 | |
dc.identifier.doi | 10.1088/1742-5468/2014/09/P09032 | |
dc.identifier.uri | http://hdl.handle.net/10754/563748 | |
dc.description.abstract | This 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.sponsorship | This 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.publisher | IOP Publishing | |
dc.subject | nonlinear dynamics | |
dc.title | Riesz potential versus fractional Laplacian | |
dc.type | Article | |
dc.contributor.department | Applied Mathematics and Computational Science Program | |
dc.contributor.department | Computational Bioscience Research Center (CBRC) | |
dc.contributor.department | Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division | |
dc.contributor.department | Electrical Engineering Program | |
dc.identifier.journal | Journal of Statistical Mechanics: Theory and Experiment | |
dc.contributor.institution | UNINOVA, Faculdade de Ciências e Tecnologia, UNL Campus Da FCT Da UNL, Quinta da TorreCaparica, Portugal | |
dc.contributor.institution | INESC-ID, New University of LisbonLisbon, Portugal | |
dc.contributor.institution | Institute of Engineering, Polytechnic of Porto, Dept. of Electrical EngineeringPorto, Portugal | |
kaust.person | Laleg-Kirati, Taous-Meriem |
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Applied Mathematics and Computational Science Program
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Electrical Engineering Program
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Computational Bioscience Research Center (CBRC)
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Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
For more information visit: https://cemse.kaust.edu.sa/