Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/25339
Title: | First and second fundamental solutions of the time-fractional telegraph equation of order 2α |
Author: | Ferreira, Milton dos Santos Rodrigues, Maria Manuela Fernandes Vieira, Nelson Felipe |
Keywords: | Time-fractional telegraph equation Telegraph Dirac operator First and second fundamental solutions Caputo fractional derivative Multivariate Mittag-Leffler function H-function of two variables |
Issue Date: | 2018 |
Publisher: | AIP Publishing |
Abstract: | In this work we obtain the first and second fundamental solutions of the multidimensional time-fractional equation of order $2\alpha$, $\alpha \in ]0,1]$, where the two time-fractional derivatives are in the Caputo sense. We obtain representations of the fundamental solutions in terms of Hankel transform, double Mellin-Barnes integral, and H-functions of two variables. As an application, the fundamental solutions are used to solve a Cauchy problem, and to study telegraph process with Brownian time. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/25339 |
DOI: | 10.1063/1.5081599 |
ISSN: | 978-0-7354-1772-4 |
Publisher Version: | https://aip.scitation.org/doi/abs/10.1063/1.5081599 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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artigo55.pdf | 361.1 kB | Adobe PDF | View/Open |
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