Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16008
Title: | Eigenfunctions and fundamental solutions of the Caputo fractional Laplace and Dirac operators |
Author: | Ferreira, Milton dos Santos Vieira, Nelson Felipe Loureiro |
Keywords: | Fractional partial differential equations Fractional Laplace and Dirac operators Caputo derivative Eigenfunctions Fundamental solution |
Issue Date: | 2016 |
Publisher: | Springer |
Abstract: | In this paper, by using the method of separation of variables, we obtain eigenfunctions and fundamental solutions for the three parameter fractional Laplace operator defined via fractional Caputo derivatives. The solutions are expressed using the Mittag-Leffler function and we show some graphical representations for some parameters. A family of fundamental solutions of the corresponding fractional Dirac operator is also obtained. Particular cases are considered in both cases. |
URI: | http://hdl.handle.net/10773/16008 |
ISBN: | 978-3-319-42528-3 |
Publisher Version: | http://www.springer.com/us/book/9783319425283 |
Appears in Collections: | CIDMA - Capítulo de livro CHAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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artigo37.pdf | Documento Principal | 219.09 kB | Adobe PDF | View/Open |
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