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http://hdl.handle.net/10773/35164| Title: | ψ-Hilfer fractional relaxation-oscillation equation |
| Author: | Vieira, N. Ferreira, M. Rodrigues, M. Manuela |
| Keywords: | Fractional relaxation-oscillation equation ψ-Hilfer derivative Bivariate Mittag-Leffler function |
| Issue Date: | 2022 |
| Publisher: | School of Engineering, Polytechnic of Porto |
| Abstract: | In this work, we solve the ψ-Hilfer fractional relaxation-oscillation equation with a force term, where the time-fractional derivatives are in the ψ-Hilfer sense. The solution of the equation is presented in terms of bivariate Mittag-Leffler functions. An asymptotic analysis of the solution of the associated homogeneous equation is performed. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/35164 |
| ISBN: | 978-989-53496-3-0 |
| Publisher Version: | https://doi.org/10.34630/20734 |
| Appears in Collections: | CIDMA - Capítulo de livro DMat - Capítulo de livro CHAG - Capítulo de livro |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| artigo71.pdf | NVMFMR_ICMASC_2022 | 373.49 kB | Adobe PDF | View/Open |
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