Refine
Has Fulltext
- yes (34) (remove)
Institute
- In Zusammenarbeit mit der Bauhaus-Universität Weimar (15)
- Professur Angewandte Mathematik (7)
- Graduiertenkolleg 1462 (4)
- Institut für Strukturmechanik (ISM) (3)
- Professur Informatik im Bauwesen (3)
- Institut für Konstruktiven Ingenieurbau (IKI) (2)
- Professur Stochastik und Optimierung (2)
- Professur Computer Vision in Engineering (1)
Keywords
- Data, information and knowledge modeling in civil engineering; Function theoretic methods and PDE in engineering sciences; Mathematical methods for (robotics and) computer vision; Numerical modeling in engineering; Optimization in engineering applications (34) (remove)
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.