Moving-boundary problems for the time-fractional diffusion equation
Date
2017-02-14
Authors
Roscani, Sabrina
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Fractional diffusion equation, Caputo derivative, Moving-boundary problem, Maximum principle, Asymptotic behaivor
Citation
Roscani, S. D. (2017). Moving-boundary problems for the time-fractional diffusion equation. <i>Electronic Journal of Differential Equations, 2017</i>(44), pp. 1-12.
Rights
Attribution 4.0 International