EIGENFUNCTIONS AND FUNDAMENTAL SOLUTIONS FOR THE FRACTIONAL LAPLACIAN IN 3 DIMENSIONS Ferreira, Milton dos Santos Vieira, Nelson Gürlebeck, Klaus Lahmer, Tom International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar article article article Text https://doi.org/10.25643/bauhaus-universitaet.2796 https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170314-27968 https://www.db-thueringen.de/receive/dbt_mods_00037040 https://www.db-thueringen.de/receive/dbt_mods_00037040 ddc:000 ddc:510 doc-type:Article ScholarlyArticle Angewandte Informatik Angewandte Mathematik Building Information Modeling Computerunterstütztes Verfahren Recently there has been a surge of interest in PDEs involving fractional derivatives in different fields of engineering. In this extended abstract we present some of the results developedin [3]. We compute the fundamental solution for the three-parameter fractional Laplace operator Δ by transforming the eigenfunction equation into an integral equation and applying the method of separation of variables. The obtained solutions are expressed in terms of Mittag-Leffer functions. For more details we refer the interested reader to [3] where it is also presented an operational approach based on the two Laplace transform. 2015-08-28 2015-08-28 eng International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar -- Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen : 20. bis 22.7. 2015, Bauhaus-Universität Weimar -- IKM -- http://uri.gbv.de/document/gvk:ppn:834237075 -- 10.25643/bauhaus-universitaet.2451 -- urn:nbn:de:gbv:wim2-20150828-24515 -- oai:opus4.weimar:2451 https://creativecommons.org/licenses/by-nc/4.0/ info:eu-repo/semantics/openAccess