On a one-dimensional time-fractional Stefan problem
Applicationes Mathematicae, Tome 51 (2024) no. 1, pp. 13-46
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
consider one dimensional one phase stefan problem riemann liouville fractional derivatives reducing nonlinear integral equation problem shown admit local time classical solution
Affiliations des auteurs :
Mykola Krasnoshchok 1
@article{10_4064_am2508_5_2024,
author = {Mykola Krasnoshchok},
title = {On a one-dimensional time-fractional {Stefan} problem},
journal = {Applicationes Mathematicae},
pages = {13--46},
publisher = {mathdoc},
volume = {51},
number = {1},
year = {2024},
doi = {10.4064/am2508-5-2024},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am2508-5-2024/}
}
TY - JOUR AU - Mykola Krasnoshchok TI - On a one-dimensional time-fractional Stefan problem JO - Applicationes Mathematicae PY - 2024 SP - 13 EP - 46 VL - 51 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/am2508-5-2024/ DO - 10.4064/am2508-5-2024 LA - en ID - 10_4064_am2508_5_2024 ER -
Mykola Krasnoshchok. On a one-dimensional time-fractional Stefan problem. Applicationes Mathematicae, Tome 51 (2024) no. 1, pp. 13-46. doi: 10.4064/am2508-5-2024
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