Some exact solutions to Stefan problems with fractional differential equations |
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Authors: | Junyi Liu Mingyu Xu |
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Affiliation: | Institute of Applied Mathematics, School of Mathematics, Shandong University, Jinan 250100, PR China |
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Abstract: | Some exact solutions to the first, second and extended Stefan problems with fractional time derivative described in the Caputo sense are given by means of fractional Green's function and Wright function in this paper. By the aid of simple calculations, many results of differential equations of integer order can be obtained as special cases of the results given by this paper. |
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Keywords: | Stefan problems Fractional time derivative Exact solutions |
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