Scale-invariant solutions to partial differential equations of fractional order with a moving boundary condition

DOI10.1088/1751-8113/41/15/155202zbMath1153.35088OpenAlexW2040205207MaRDI QIDQ5460450

Mingyu Xu, Shaowei Wang, Xicheng Li

Publication date: 28 April 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/41/15/155202

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Free boundary problems for PDEs (35R35) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (12)

Numerical solution of the one phase 1D fractional Stefan problem using the front fixing method ⋮ A note on models for anomalous phase-change processes ⋮ Comparison between Adomian decomposition method and optimal homotopy asymptotic method for a two moving boundaries problem ⋮ Analytical solutions to a fractional generalized two phase Lame-Clapeyron-Stefan problem ⋮ Numerical scheme for one-phase 1D fractional Stefan problem using the similarity variable technique ⋮ Development of a computational approach for a space-time fractional moving boundary problem arising from drug release systems ⋮ A model for reversible reaction in a subdiffusive regime ⋮ The numerical method for the moving boundary problem with space-fractional derivative in drug release devices ⋮ Homotopy perturbation method for a limit case Stefan problem governed by fractional diffusion equation ⋮ Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition ⋮ Some exact solutions to Stefan problems with fractional differential equations ⋮ Similarity solutions for phase change problems with fractional governing equations

This page was built for publication: Scale-invariant solutions to partial differential equations of fractional order with a moving boundary condition