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Identify the fractional order and diffusion coefficient in a fractional diffusion wave equation
Journal of Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiongbin Yan, Yuan-Xiang Zhang, Ting Wei
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Fractional Diffusion with Time-Dependent Diffusion Coefficient
Reports on Mathematical Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Costa, F. S. +2 more
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Fractional Diffusion in Silicon
Advanced Materials, 2013Microscopic processes leading to ultrafast laser-induced melting of silicon are investigated by large-scale ab initio molecular dynamics simulations. Before becoming a liquid, the atoms are shown to be fractionally diffusive, which is a property that has so far been observed in crowded fluids consisting of large molecules. Here, it is found to occur in
Eeuwe S, Zijlstra +3 more
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Diffusive fractionation in the chromosphere
Space Science Reviews, 1994A new mechanism for the FIP fractionation in the solar wind in the form of a stationary diffusion model is proposed. It is based on a weakly stratified chromospheric layer of constant density and temperature, permeated everywhere by ionizing photons and a homogeneous magnetic field. Our model does not invoke any particular geometry or special set up of
von Steiger, R., Marsch, E.
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On a fractional reaction–diffusion equation
Zeitschrift für angewandte Mathematik und Physik, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Andrade, Bruno, Viana, Arlúcio
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Fractional Diffusion and Entropy Production
Journal of Non-Equilibrium Thermodynamics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hoffmann, Karl Heinz +2 more
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On the Decomposition of Solutions: From Fractional Diffusion to Fractional Laplacian
Fractional Calculus and Applied Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Solution of Time-Fractional Diffusion Models
2022In many situations, the analysis of viscoelastic materials, like polymers, takes benefit from the introduction of fractional operators in the mathematical formalization. In addition, fractional differential models have been applied in a wide variety of fields, from biology to thermodynamics, from diffusion of information to dehydration/rehydration of ...
Cardone, Angelamaria +1 more
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Voltammetry Based on Fractional Diffusion
The Journal of Physical Chemistry B, 2009A cyclic voltammetric experiment governed by anomalous diffusion of an electroactive species is theoretically analyzed by means of fractional calculus. The diffusion mass transfer under semi-infinite conditions at a planar electrode is ascribed by a Fick's second law-like differential equation in which the time derivative of the concentration function ...
Valentin, Mirceski, Zivorad, Tomovski
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