Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/25339
Título: | First and second fundamental solutions of the time-fractional telegraph equation of order 2α |
Autor: | Ferreira, Milton dos Santos Rodrigues, Maria Manuela Fernandes Vieira, Nelson Felipe |
Palavras-chave: | Time-fractional telegraph equation Telegraph Dirac operator First and second fundamental solutions Caputo fractional derivative Multivariate Mittag-Leffler function H-function of two variables |
Data: | 2018 |
Editora: | AIP Publishing |
Resumo: | 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 |
Versão do Editor: | https://aip.scitation.org/doi/abs/10.1063/1.5081599 |
Aparece nas coleções: | CIDMA - Artigos CHAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
artigo55.pdf | 361.1 kB | Adobe PDF | Ver/Abrir |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.