Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/21071
Title: | Fundamental solution of the time-fractional telegraph Dirac operator |
Author: | Ferreira, Milton dos Santos Rodrigues, Maria Manuela Fernandes Vieira, Nelson Felipe Loureiro |
Keywords: | Time-fractional telegraph and telegraph Dirac operators Fundamental solution Caputo fractional derivative Multivariate Mittag-Leffler functions H-function of two variables |
Issue Date: | Dec-2017 |
Publisher: | Wiley |
Abstract: | In this work we obtain the fundamental solution (FS) of the multidimensional time-fractional telegraph Dirac operator where the two time-fractional derivatives of orders $\alpha \in ]0,1]$ and $\beta \in ]1,2]$ are in the Caputo sense. Explicit integral and series representation of the FS are obtained for any dimension. We present and discuss some plots of the FS for some particular values of the dimension and of the fractional parameters $\alpha$ and $\beta$. Finally, using the FS we study some Poisson and Cauchy problems. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/21071 |
DOI: | 10.1002/mma.4511 |
ISSN: | 1099-1476 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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artigo41_Dirac.pdf | Documento Principal | 565.95 kB | Adobe PDF | View/Open |
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