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

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.