Fractional-Diffusion Solutions for Transient Local Temperature and Heat Flux

@inproceedings{Kulish1999FractionalDiffusionSF,
  title={Fractional-Diffusion Solutions for Transient Local Temperature and Heat Flux},
  author={Vladimir V. Kulish and Jos{\'e} Luis Caram{\'e}s Lage},
  year={1999}
}
Applying properties of the Laplace transform, the transient heat diffusion equation can be transformed into a fractional (extraordinary) differential equation. This equation can then be modified, using the Fourier Law, into a unique expression relating the local value of the time-varying temperature (or heat flux) and the corresponding transient heat flux (or temperature). We demonstrate that the transformation into a fractional equation requires the assumption of unidirectional heat transport… CONTINUE READING

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