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A self-similar solution to time-fractional Stefan problem
  • Adam Kubica,
  • Katarzyna Ryszewska
Adam Kubica
Warsaw University of Technology
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Katarzyna Ryszewska
Warsaw University of Technology
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Abstract

We derive the fractional version of one-phase one-dimensional Stefan model. We assume that the diffusive flux is given by the time-fractional Riemann-Liouville derivative, i.e. we impose the memory effect in the examined model. Furthermore, we find a special solution to this problem.

Peer review status:UNDER REVIEW

24 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
27 Jun 2020Assigned to Editor
27 Jun 2020Submission Checks Completed
29 Jun 2020Reviewer(s) Assigned