Fractional Cattaneo heat equation in a semi-infinite medium
摘要
To better describe the phenomenon of non-Fourier heat conduction, the fractional Cattaneo heat equation is introduced from the generalized Cattaneo model with two fractional derivatives of different orders. The anomalous heat conduction under the Neumann boundary condition in a semi-infinity medium is investigated. Exact solutions are obtained in series form of the H-function by using the Laplace transform method. Finally, numerical examples are presented graphically when different kinds of surface temperature gradient are given. The effects of fractional parameters are also discussed.
引用本文（GB/T 7714）
续焕英, Qi Tao, 蒋晓芸. Fractional Cattaneo heat equation in a semi-infinite medium[J]. 中国物理B：英文版, 2013.
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