Moving-boundary problems for the time-fractional diffusion equation

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dc.contributor.authorRoscani, Sabrina
dc.date.accessioned2022-03-28T17:11:26Z
dc.date.available2022-03-28T17:11:26Z
dc.date.issued2017-02-14
dc.description.abstractWe consider a one-dimensional moving-boundary problem for the time-fractional diffusion equation. The time-fractional derivative of order α ∈ (0, 1) is taken in the sense of Caputo. We study the asymptotic behavior, 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationRoscani, S. D. (2017). Moving-boundary problems for the time-fractional diffusion equation. <i>Electronic Journal of Differential Equations, 2017</i>(44), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15568
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional diffusion equation
dc.subjectCaputo derivative
dc.subjectMoving-boundary problem
dc.subjectMaximum principle
dc.subjectAsymptotic behaivor
dc.titleMoving-boundary problems for the time-fractional diffusion equationen_US
dc.typeArticle

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