On a one-dimensional time-fractional Stefan problem
Volume 51 / 2024
Applicationes Mathematicae 51 (2024), 13-46
MSC: Primary 35R35; Secondary 35R11, 45G15
DOI: 10.4064/am2508-5-2024
Published online: 22 July 2024
Abstract
We consider a one-dimensional one-phase Stefan problem with the Riemann–Liouville fractional derivatives. By reducing to a nonlinear integral equation, the problem is shown to admit a local in time classical solution.
