On a one-dimensional time-fractional Stefan problem

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Systems of nonlinear integral equations (45G15) Fractional partial differential equations (35R11)

Cites Work

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An application of integral equation method to fractional Stefan problem
Weak solutions of fractional differential equations in non cylindrical domains
The Stefan problem. Translated from the Russian by Marek Niezgódka and Anna Crowley
A new mathematical formulation for a phase change problem with a memory flux
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Boundary behavior of the layer potentials for the time fractional diffusion equation in Lipschitz domains
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Moving Interfaces and Quasilinear Parabolic Evolution Equations
Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
ON CLASSICAL SOLVABILITY OF THE MULTIDIMENSIONAL STEFAN PROBLEM FOR CONVECTIVE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID
The fundamental solution of a diffusion-wave equation of fractional order
The first boundary-value problem for a fractional diffusion-wave equation in a non-cylindrical domain
A self‐similar solution to time‐fractional Stefan problem
Maximum principle for certain generalized time and space fractional diffusion equations
Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
Moving boundary problems for time fractional and composition dependent diffusion
The random walk's guide to anomalous diffusion: A fractional dynamics approach

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