Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11026232 | Chaos, Solitons & Fractals | 2018 | 8 Pages |
Abstract
A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model that arises involves fractional derivatives with respect to time both in the sense of Caputo and of Riemann-Liouville. An integral relation for the free boundary, which is equivalent to the “fractional Stefan condition”, is also obtained.
Keywords
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Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Sabrina D. Roscani, Julieta Bollati, Domingo A. Tarzia,