Abstract
Anomalous heat diffusion process is one of the most popular examples of real world fractional-order system modelling. It has been shown, that such approach is well suited for modelling diffusion in fractal, porous media. A number of papers examining this problem have been published, either for constant- or variable-order systems. However, few of them addressed energy-related issues of such process. Better understanding of the relationship between the energy and order would have a great impact on fractional order modelling, helping to predict the results of stochastic processes in varying, complicated systems and making it easier to find the real order of the system.
Published Version
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