The fractional Fick's law for non-local transport processes
By Paolo Paradisi, R. Cesari, Francesco Mainardi, Francesco Tampieri. 2001
156 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/455fb3ce78fc671f54411ecc8d448bcbd1514491
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Modeling and Simulation
- Yuriy Povstenko
- Rudolf Gorenflo
- Gianni Pagnini
- Francesco Mainardi
- Mark M. Meerschaert
- Paolo Paradisi
- Yong Zhang
- Daniele Moretti
In Statistical and Nonlinear Physics
- Yuriy Povstenko
- Gianni Pagnini
- Francesco Mainardi
- Rudolf Gorenflo
- Daniele Moretti
- Paolo Paradisi
- S. Agrawal
- M. Srivastava
Citations in the corpus
- Thermoelasticity that uses fractional heat conduction equation (2009, background): “Another type of spacenonlocality is based on “long-tale” kernels resulting in fractional differential operators in space coordinates [16, 24, 52, 53 ].”
- Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications (2009, background): “where the dispersive term D@ (1)Cðx; tÞ=@xa 1 follows the fractional (also called the generalized) Fick’s law [28,77,117,127].”
- Discrete random walk models for space-time fractional diffusion (2002, methodology): “[1], [10], [15], [28] [29, 30], [34, 35, 36], [40], [48, 49], [52], [57], [61, 62], [63, 64].”
- Synchronization of fractional order chaotic systems using active control method (2012, background): “[22] have proposed a general Fick’s law using fractional derivative operator which accounts for non-local phenomena by virtue of its integral nature.”