The fractional Fick's law for non-local transport processes
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DOI: 10.1016/S0378-4371(00)00491-X
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- Metzler, Ralf & Glöckle, Walter G. & Nonnenmacher, Theo F., 1994. "Fractional model equation for anomalous diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(1), pages 13-24.
- Gorenflo, Rudolf & Fabritiis, Gianni De & Mainardi, Francesco, 1999. "Discrete random walk models for symmetric Lévy–Feller diffusion processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 79-89.
- Zanette, Damián H., 1998. "Macroscopic current in fractional anomalous diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 252(1), pages 159-164.
- West, Bruce J. & Seshadri, V., 1982. "Linear systems with Lévy fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(1), pages 203-216.
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Cited by:
- Qi, Haitao & Jiang, Xiaoyun, 2011. "Solutions of the space-time fractional Cattaneo diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 1876-1883.
- Gorenflo, Rudolf & Mainardi, Francesco & Moretti, Daniele & Pagnini, Gianni & Paradisi, Paolo, 2002. "Fractional diffusion: probability distributions and random walk models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 106-112.
- Hernandez-Martinez, Eliseo & Valdés-Parada, Francisco & Alvarez-Ramirez, Jose & Puebla, Hector & Morales-Zarate, Epifanio, 2016. "A Green’s function approach for the numerical solution of a class of fractional reaction–diffusion equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 121(C), pages 133-145.
- Néel, Marie-Christine & Abdennadher, Ali & Solofoniaina, Joelson, 2008. "A continuous variant for Grünwald–Letnikov fractional derivatives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2750-2760.
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Keywords
Diffusion; Stable probability distributions; Fractional derivatives;All these keywords.
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