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arxiv: 1609.05169 · v4 · pith:6S7MMEGKnew · submitted 2016-09-16 · 🧮 math.AP

An integral Relationship for a new Fractional One-phase Stefan Problem

classification 🧮 math.AP
keywords fractionalstefanboundaryconditionintegralone-phaseproblemrelationship
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A one-dimensional fractional one-phase Stefan problem with a temperature boundary condition at the fixed face is considered. An integral relationship between the temperature and the free boundary is obtained which is equivalent to the fractional Stefan condition. Moreover, an exact solution of similarity type expressed in terms of Wright functions is given.

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