Two different fractional Stefan problems that are convergent to the same classical Stefan problem

DOI10.1002/mma.5196zbMath1402.35306arXiv1710.07620OpenAlexW3124680083MaRDI QIDQ4557121

Domingo Alberto Tarzia, Sabrina D. Roscani

Publication date: 29 November 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07620

zbMATH Keywords

explicit solutionsCaputo derivativeRiemann-Liouville derivativewright functionsfractional Stefan problem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Fractional derivatives and integrals (26A33) Other functions defined by series and integrals (33E20) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items (6)

Mesh scheme for a phase transition problem with time-fractional derivative ⋮ A space-fractional Stefan problem ⋮ A new mathematical formulation for a phase change problem with a memory flux ⋮ Explicit solutions to fractional Stefan-like problems for Caputo and Riemann-Liouville derivatives ⋮ Explicit solution for a two-phase fractional Stefan problem with a heat flux condition at the fixed face ⋮ The similarity method and explicit solutions for the fractional space one-phase Stefan problems

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