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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
DOI: 10.1002/mma.4511
ISSN: 1099-1476
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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