Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/31781
Título: | Time-fractional telegraph equation of distributed order in higher dimensions |
Autor: | Vieira, N. Rodrigues, M. M. Ferreira, M. |
Palavras-chave: | Time-fractional telegraph equation Distributed order Laplace transform Fourier transform Mellin transform Fox H-functions Fractional moments Tauberian Theorem |
Data: | Nov-2021 |
Editora: | Elsevier |
Resumo: | In this work, the Cauchy problem for the time-fractional telegraph equation of distributed order in $\BR^n \times \BR^+$ is considered. By employing the technique of the Fourier, Laplace and Mellin transforms, a representation of the fundamental solution of this equation in terms of convolutions involving the Fox H-function is obtained. Some particular choices of the density functions in the form of elementary functions are studied. Fractional moments of the fundamental solution are computed in the Laplace domain. Finally, by application of the Tauberian theorems, we study the asymptotic behaviour of the second-order moment (variance) in the time domain. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/31781 |
DOI: | 10.1016/j.cnsns.2021.105925 |
ISSN: | 1007-5704 |
Versão do Editor: | https://www.sciencedirect.com/science/article/pii/S1007570421002379 |
Aparece nas coleções: | CIDMA - Artigos DMat - Artigos CHAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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artigo27.pdf | NVMRMF_CNSNS_2021 | 584.54 kB | Adobe PDF | Ver/Abrir |
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