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http://hdl.handle.net/10773/31781
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Vieira, N. | pt_PT |
dc.contributor.author | Rodrigues, M. M. | pt_PT |
dc.contributor.author | Ferreira, M. | pt_PT |
dc.date.accessioned | 2021-08-03T18:07:46Z | - |
dc.date.issued | 2021-11 | - |
dc.identifier.issn | 1007-5704 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/31781 | - |
dc.description.abstract | 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. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Elsevier | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/CEEC IND 2018/CEECIND%2F01131%2F2018%2FCP1559%2FCT0014/PT | pt_PT |
dc.rights | embargoedAccess | pt_PT |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt_PT |
dc.subject | Time-fractional telegraph equation | pt_PT |
dc.subject | Distributed order | pt_PT |
dc.subject | Laplace transform | pt_PT |
dc.subject | Fourier transform | pt_PT |
dc.subject | Mellin transform | pt_PT |
dc.subject | Fox H-functions | pt_PT |
dc.subject | Fractional moments | pt_PT |
dc.subject | Tauberian Theorem | pt_PT |
dc.title | Time-fractional telegraph equation of distributed order in higher dimensions | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.title | Communications in Nonlinear Science and Numerical Simulation | pt_PT |
degois.publication.volume | 102 | pt_PT |
dc.date.embargo | 2023-10-31 | - |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1007570421002379 | pt_PT |
dc.identifier.doi | 10.1016/j.cnsns.2021.105925 | pt_PT |
Appears in Collections: | CIDMA - Artigos DMat - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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artigo27.pdf | NVMRMF_CNSNS_2021 | 584.54 kB | Adobe PDF | View/Open |
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