Moving-boundary problems for the time-fractional diffusion equation

Date

2017-02-14

Authors

Roscani, Sabrina

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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.

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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. Electronic Journal of Differential Equations, 2017(44), pp. 1-12.

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Attribution 4.0 International

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