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Title: First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators
Author: Ferreira, Milton
Rodrigues, Manuela
Vieira, Nelson Felipe Loureiro
Keywords: Time-fractional telegraph equation
Time-fractional telegraph Dirac operator
First and second fundamental solutions
Caputo fractional derivative
Multivariate Mittag-Leffler function
H-function of two variables
Issue Date: May-2018
Publisher: Springer
Abstract: In this work, we obtain the first and second fundamental solutions (FS) of the multidimensional time-fractional equation with Laplace or Dirac operators, where the two time-fractional derivatives of orders α ∈]0, 1] and β ∈]1, 2] are in the Caputo sense. We obtain representations of the FS in terms of Hankel transform, double Mellin- Barnes integrals, and H-functions of two variables. As an application, the FS are used to solve Cauchy problems of Laplace and Dirac type.
Peer review: yes
DOI: 10.1007/s00006-018-0858-7
ISSN: 0188-7009
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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