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 SantosRodrigues, Maria Manuela FernandesVieira, Nelson Felipe Loureiro Keywords: Time-fractional telegraph and telegraph Dirac operatorsFundamental solutionCaputo fractional derivativeMultivariate Mittag-Leffler functionsH-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 - ArtigosCHAG - Artigos

Files in This Item:
File Description SizeFormat