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http://hdl.handle.net/10773/18422
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DC Field | Value | Language |
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dc.contributor.author | Ferreira, Milton dos Santos | pt |
dc.contributor.author | Rodrigues, Maria Manuela Fernandes | pt |
dc.contributor.author | Vieira, Nelson Felipe Loureiro | pt |
dc.date.accessioned | 2017-10-02T13:52:25Z | - |
dc.date.available | 2017-10-02T13:52:25Z | - |
dc.date.issued | 2017-07-01 | - |
dc.identifier.issn | 1314-2224 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/18422 | - |
dc.description.abstract | In this paper we study the fundamental solution (FS) of the multidimensional time-fractional telegraph equation with time-fractional derivatives of orders $\alpha \in ]0,1]$ and $\beta \in ]1,2]$ in the Caputo sense. Using the Fourier transform we obtain an integral representation of the FS expressed in terms of a multivariate Mittag-Leffler function in the Fourier domain. The Fourier inversion leads to a double Mellin-Barnes type integral representation and consequently to a H-function of two variables. An explicit series representation of the FS, depending on the parity of the dimension, is also obtained. As an application, we study a telegraph process with Brownian time. Finally, we present some moments of integer order of the FS, and some plots of the FS for some particular values of the dimension $n$ and of the fractional parameters $\alpha$ and $\beta$. | pt |
dc.language.iso | eng | pt |
dc.publisher | de Gruyter | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt |
dc.relation | FCT - IF/00271/2014 | pt |
dc.rights | openAccess | por |
dc.subject | Time-fractional telegraph operator | pt |
dc.subject | Double Mellin-Barnes type integrals | pt |
dc.subject | Fundamental solutions | pt |
dc.subject | Caputo fractional derivative | pt |
dc.subject | Multivariate Mittag-Leffler functions | pt |
dc.subject | H-function of two variables | pt |
dc.title | Fundamental solution of the multi-dimensional time fractional telegraph equation | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 868 | pt |
degois.publication.issue | 4 | pt |
degois.publication.lastPage | 894 | pt |
degois.publication.title | Fractional Calculus and Applied Analysis | pt |
degois.publication.volume | 20 | pt |
dc.identifier.doi | 10.1515/fca-2017-0046 | pt |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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artigo41_Laplace.pdf | Documento Principal | 462.28 kB | Adobe PDF | View/Open |
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