Positive fractional derivative equation modeling of non-Fourier heat conduction

论文发布时间：[2009-10-20] 范文大全编辑：Voive.net

所有作者：孙逸飞

作者单位：河海大学工程力学系

论文摘要：This letter makes the first attempt to develop differential equation model of non-Fourier heat conductions by using positive time-fractional derivative。 Numerical comparison with the corresponding fractional derivative model shows that when the fractional derivative order 冄僴僴approaches to ２ the two models behave somewhat differently， in contrast， when 冄僴 approaches to zero their behaviors observe very similar。 It is worth to point out that our new model decays more slowly than the conventional fractional derivative one。 Thus， the positive fractional derivative model can better reflect non-Fourier heat conduction process characterizing strong memory and slow diffusion。

关键词： non-Fourier heat conduction fractional derivative positive fractional derivative

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