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Anomalous Diffusion: Models, Their Analysis, and Interpretation
2012In this chapter, modeling of anomalous diffusion processes in terms of differential equations of an arbitrary (not necessarily integer)ord er is discussed. We start with micro-modeling and first deduce a probabilistic interpretation of normal and anomalous diffusion from basic random walk models.
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2016
The classical diffusion equation models the behavior of several physical phenomena related to dispersion processes quite successfully; however, in some cases, this approach fails to represent the actual physical behavior. In most published works dealing with this situation, the well-known second order parabolic equation is assumed as the basic ...
Diego Campos-Knupp +4 more
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The classical diffusion equation models the behavior of several physical phenomena related to dispersion processes quite successfully; however, in some cases, this approach fails to represent the actual physical behavior. In most published works dealing with this situation, the well-known second order parabolic equation is assumed as the basic ...
Diego Campos-Knupp +4 more
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2019
Diffusion magnetic resonance imaging plays a significant role in the study of tissue structures, such as by providing important biological information on prostate cancer and brain tissue complexity. Diffusion MRI contains information describing the isotropy and anisotropy of the diffusion assuming the existence of the Gaussian diffusion, which is ...
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Diffusion magnetic resonance imaging plays a significant role in the study of tissue structures, such as by providing important biological information on prostate cancer and brain tissue complexity. Diffusion MRI contains information describing the isotropy and anisotropy of the diffusion assuming the existence of the Gaussian diffusion, which is ...
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Anomalous diffusion modeling by fractal and fractional derivatives
Computers and Mathematics With Applications, 2010Wen Chen, Hongguang Sun
exaly
Anomalous diffusion modeling using ultracapacitors in domino ladder circuit
Microelectronics Journal, 2019Tomáš Škovránek +2 more
exaly
Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations
GEM - International Journal on Geomathematics, 2011Yury Luchko, Luchko Yury
exaly

