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Positive fractional derivative equation modeling of non-Fourier heat conduction
SUN Yifei *
department of engineering mechanics of hohai university
*Correspondence author
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Funding: none
Opened online:20 October 2009
Accepted by: none
Citation: SUN Yifei.Positive fractional derivative equation modeling of non-Fourier heat conduction[OL]. [20 October 2009] http://en.paper.edu.cn/en_releasepaper/content/35929
 
 
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.
Keywords:non-Fourier heat conduction;fractional derivative;positive fractional derivative
 
 
 

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