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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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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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Fractional diffusion and fractional heat equation
Advances in Applied Probability, 2000This paper introduces a fractional heat equation, where the diffusion operator is the composition of the Bessel and Riesz potentials. Sharp bounds are obtained for the variance of the spatial and temporal increments of the solution. These bounds establish the degree of singularity of the sample paths of the solution.
Angulo, J. M. +3 more
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A Fractional Diffusion Model with Resetting
2019We consider a model that serves as a paradigm for a class of search strategies in which the searcher having explored its environment unsuccessfully for a while, returns to its initial position and begins a new search. The model describes the diffusive motion of a particle, performing a random walk with Levy distributed jump lengths, which is ...
Ercília Sousa, Amal K. Das
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