An initial-boundary problem for a mixed fractional wave equation
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913158357057536 |
|---|---|
| author | Karimov, Erkinjon Al-Salti, Nasser Al-Ghabsi, Muna |
| author_facet | Karimov, Erkinjon Al-Salti, Nasser Al-Ghabsi, Muna |
| contents | We aim to prove a unique solvability of an initial-boundary value problem (IBVP) for a time-fractional wave equation in a rectangular domain. We exploit the spectral expansion method as the main tool and used the solution to Cauchy problems for fractional-order differential equations. Moreover, we apply certain properties of the Mittag-Leffler-type functions of single and two variables to prove the uniform convergence of the solution to the considered problem, represented in the form of infinite series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11871 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An initial-boundary problem for a mixed fractional wave equation Karimov, Erkinjon Al-Salti, Nasser Al-Ghabsi, Muna Analysis of PDEs 35M10, 35R11 We aim to prove a unique solvability of an initial-boundary value problem (IBVP) for a time-fractional wave equation in a rectangular domain. We exploit the spectral expansion method as the main tool and used the solution to Cauchy problems for fractional-order differential equations. Moreover, we apply certain properties of the Mittag-Leffler-type functions of single and two variables to prove the uniform convergence of the solution to the considered problem, represented in the form of infinite series. |
| title | An initial-boundary problem for a mixed fractional wave equation |
| topic | Analysis of PDEs 35M10, 35R11 |
| url | https://arxiv.org/abs/2502.11871 |