Moving-boundary problems for the time-fractional diffusion equation
We consider a one-dimensional moving-boundary problem for the time-fractional diffusion equation. The time-fractional derivative of order $\alpha\in (0,1)$ is taken in the sense of Caputo. We study the asymptotic behaivor, as t tends to infinity, of a general solution by using a fractional weak...
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Texas State University
2017-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/44/abstr.html |
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doaj-1f61b5570a9b4d508844f77e7eeb91172020-11-25T00:41:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-02-01201744,112Moving-boundary problems for the time-fractional diffusion equationSabrina D. Roscani0 Univ. Austral, Rosario, Argentina We consider a one-dimensional moving-boundary problem for the time-fractional diffusion equation. The time-fractional derivative of order $\alpha\in (0,1)$ is taken in the sense of Caputo. We study the asymptotic behaivor, as t tends to infinity, of a general solution by using a fractional weak maximum principle. Also, we give some particular exact solutions in terms of Wright functions.http://ejde.math.txstate.edu/Volumes/2017/44/abstr.htmlFractional diffusion equationCaputo derivativemoving-boundary problemmaximum principleasymptotic behaivor |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sabrina D. Roscani |
| spellingShingle |
Sabrina D. Roscani Moving-boundary problems for the time-fractional diffusion equation Electronic Journal of Differential Equations Fractional diffusion equation Caputo derivative moving-boundary problem maximum principle asymptotic behaivor |
| author_facet |
Sabrina D. Roscani |
| author_sort |
Sabrina D. Roscani |
| title |
Moving-boundary problems for the time-fractional diffusion equation |
| title_short |
Moving-boundary problems for the time-fractional diffusion equation |
| title_full |
Moving-boundary problems for the time-fractional diffusion equation |
| title_fullStr |
Moving-boundary problems for the time-fractional diffusion equation |
| title_full_unstemmed |
Moving-boundary problems for the time-fractional diffusion equation |
| title_sort |
moving-boundary problems for the time-fractional diffusion equation |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2017-02-01 |
| description |
We consider a one-dimensional moving-boundary problem
for the time-fractional diffusion equation. The time-fractional derivative
of order $\alpha\in (0,1)$ is taken in the sense of Caputo.
We study the asymptotic behaivor, as t tends to infinity, of a
general solution by using a fractional weak maximum principle.
Also, we give some particular exact solutions in terms of Wright functions. |
| topic |
Fractional diffusion equation Caputo derivative moving-boundary problem maximum principle asymptotic behaivor |
| url |
http://ejde.math.txstate.edu/Volumes/2017/44/abstr.html |
| work_keys_str_mv |
AT sabrinadroscani movingboundaryproblemsforthetimefractionaldiffusionequation |
| _version_ |
1725286977013547008 |