A note about fractional Stefan problem

2019/08/14 by Adam Kubica, Katarzyna Ryszewska, Kubica, Adam +1
Engineering · Mathematics · #Differential Equations and Numerical Methods #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.1908.05136

openalex publication_date 2019/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• A self-similar solution to time-fractional Stefan problem
• On the two-phase fractional Stefan problem
• A space-fractional Stefan problem
• On a Space Fractional Stefan problem of Dirichlet type with Caputo flux
• Fractional Differential Equations