000K  utf8
1100  2015$c2015-08-28
1500  eng
2050  urn:nbn:de:gbv:wim2-20170314-27968
2051  10.25643/bauhaus-universitaet.2796
3000  Ferreira, Milton dos Santos
3010  Vieira, Nelson
4000  EIGENFUNCTIONS AND FUNDAMENTAL SOLUTIONS FOR THE FRACTIONAL LAPLACIAN IN 3 DIMENSIONS  [Ferreira, Milton dos Santos]
4209  Recently there has been a surge of interest in PDEs involving fractional derivatives in different fields of engineering. In this extended abstract we present some of the results developedin [3]. We compute the fundamental solution for the three-parameter fractional Laplace operator Δ by transforming the eigenfunction equation into an integral equation and applying the method of separation of variables. The obtained solutions are expressed in terms of Mittag-Leffer functions. For more details we refer the interested reader to [3] where it is also presented an operational approach based on the two Laplace transform.
4950  https://doi.org/10.25643/bauhaus-universitaet.2796$xR$3Volltext$534
4950  https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170314-27968$xR$3Volltext$534
4961  https://www.db-thueringen.de/receive/dbt_mods_00037040
5051  000
5051  510
5550  Angewandte Informatik
5550  Angewandte Mathematik
5550  Building Information Modeling
5550  Computerunterstütztes Verfahren