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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:Published

24 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
27 Jun 2020Submission Checks Completed
27 Jun 2020Assigned to Editor
29 Jun 2020Reviewer(s) Assigned
11 Oct 2020Review(s) Completed, Editorial Evaluation Pending
12 Oct 2020Editorial Decision: Revise Minor
23 Oct 20201st Revision Received
24 Oct 2020Submission Checks Completed
24 Oct 2020Assigned to Editor
24 Oct 2020Editorial Decision: Accept
16 Nov 2020Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7028