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- W2026174811 abstract "First a survey is presented on how space-time fractional diffusion processes can be obtained by well-scaled limiting from continuous time random walks under the sole assumption of asymptotic power laws (with appropriate exponents for the tail behaviour of waiting times and jumps). The spatial operator in the limiting pseudo-differential equation is the inverse of a general Riesz-Feller potential operator. The analysis is carried out via the transforms of Fourier and Laplace. Then mixtures of waiting time distributions, likewise of jump distributions, are considered, and it is shown that correct multiple scaling in the limit yields diffusion equations with distributed order fractional derivatives (fractional operators being replaced by integrals over such ones, with the order of differentiation as variable of integration). It is outlined how in this way super-fast and super-slow diffusion can be modelled." @default.
- W2026174811 created "2016-06-24" @default.
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- W2026174811 date "2005-01-01" @default.
- W2026174811 modified "2023-10-18" @default.
- W2026174811 title "Simply and multiply scaled diffusion limits for continuous time random walks" @default.
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- W2026174811 doi "https://doi.org/10.1088/1742-6596/7/1/001" @default.
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