REVISITING THE DERIVATION OF THE FRACTIONAL DIFFUSION EQUATION

DOI10.1142/S0218348X0300194XzbMath1050.35163arXivcond-mat/0210166OpenAlexW1965950405MaRDI QIDQ4474621

Marco Raberto, Rudolf Gorenflo, Enrico Scalas, Francesco Mainardi

Publication date: 12 July 2004

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0210166

zbMATH Keywords

Mittag-Leffler functionfractional derivativefractional diffusion equationGnedenko-Kolmogorov limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

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Cites Work

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• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
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• On Mittag-Leffler-type functions in fractional evolution processes
• Montroll-Weiss problem, fractional equations, and stable distributions
• Asymptotic distributions of continuous-time random walks: A probabilistic approach
• Random Walks on Lattices. II
• Continuous-time random walks and the fractional diffusion equation
• Fractional kinetic equations: solutions and applications
• Chance and Stability
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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