arXiv:1609.05169 Abstract | arXiv Analytics

arXiv:1609.05169 [math.AP]Abstract References Reviews Resources

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

Published 2016-09-16Version 1

In this paper a new 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.

Categories: math.AP

Subjects: 35R35, 26A33, 35C05

Keywords: integral relationship, one-dimensional fractional one-phase stefan problem, fractional stefan condition, temperature boundary condition, wright functions

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