Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/23631
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 |
URI: | http://hdl.handle.net/10773/23631 |
DOI: | 10.1007/s00006-018-0858-7 |
ISSN: | 0188-7009 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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POSPrint_FS_Time_Fract_telegraph_equation_2018.pdf | Documento principal | 351.04 kB | Adobe PDF | View/Open |
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