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http://hdl.handle.net/10773/39387| Title: | Uniformly distributed-order wave equation in higher dimensions |
| Author: | Vieira, N. Rodrigues, M. M. Ferreira, M. |
| Keywords: | Time-fractional wave equation Distributed order Hilfer fractional derivative Laplace transform Fourier transform Mellin transform Mittag-Leffler function Fox H-function Fractional moments Tauberian Theorem |
| Issue Date: | 1-Sep-2023 |
| Publisher: | American Institute of Physics (AIP) |
| Abstract: | In this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in $\BR^n \times \BR^+$, as Laplace integral of Fox H-functions. For the particular case of the first fundamental solution, the fractional moment of second order of the fundamental solution is studied using the Tauberian Theorem. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/39387 |
| DOI: | 10.1063/5.0162287 |
| ISSN: | 0094-243X |
| Publisher Version: | https://pubs.aip.org/aip/acp/article/2849/1/380002/2909279/Uniformly-distributed-order-wave-equation-in |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos CHAG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| artigo63.pdf | NVMRMF_ICNAAM_2021 | 403.82 kB | Adobe PDF | View/Open |
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