Moving-boundary problems for the time-fractional diffusion equation
We consider a one-dimensional moving-boundary problem for thetime-fractional diffusion equation. The time-fractional derivative of order α ∈(0, 1) is taken in the sense of Caputo. We study the asymptotic behaivor, ast tends to infinity, of a general solution by using a fractional weak maximumprincip...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/53329 |
| Acceso en línea: | http://hdl.handle.net/11336/53329 |
| Access Level: | acceso abierto |
| Palabra clave: | Fractional diffusion equation Asymptotic behaivor Moving-boundary problem Maximum principle https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We consider a one-dimensional moving-boundary problem for thetime-fractional diffusion equation. The time-fractional derivative of order α ∈(0, 1) is taken in the sense of Caputo. We study the asymptotic behaivor, ast tends to infinity, of a general solution by using a fractional weak maximumprinciple. Also, we give some particular exact solutions in terms of Wright functions. |
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