Results 21 to 30 of about 2,952,428 (298)
Fractional reaction-diffusion equation [PDF]
The Journal of Chemical Physics, 2003 A fractional reaction-diffusion equation is derived from a continuous time random walk model when the transport is dispersive. The exit from the encounter distance, which is described by the algebraic waiting time distribution of jump motion, interferes with the reaction at the encounter distance. Therefore, the reaction term has a memory effect.
Seki, Kazuhiko +2 more
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Semi-Fractional Diffusion Equations [PDF]
Fractional Calculus and Applied Analysis, 2019 32 pages, 5 ...
Kern, Peter +2 more
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Fractional-calculus diffusion equation [PDF]
Nonlinear Biomedical Physics, 2010 Sequel to the work on the quantization of nonconservative systems using fractional calculus and quantization of a system with Brownian motion, which aims to consider the dissipation effects in quantum-mechanical description of microscale systems.The canonical quantization of a system represented classically by one-dimensional Fick's law, and the ...
Ajlouni, Abdul-Wali M. S. +1 more
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Fractional Reaction-Diffusion Equations [PDF]
Astrophysics and Space Science, 2006 LaTeX, 17 pages, corrected ...
Saxena, R. K. +2 more
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Unified Fractional Kinetic Equation and a Fractional Diffusion Equation [PDF]
Astrophysics and Space Science, 2004 In earlier papers Saxena et al. (2002, 2003) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term ...
Saxena, R. K. +2 more
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Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains [PDF]
, 2015 In this paper, we derive and analyse a compact difference scheme for a distributed-order time-fractional diffusion-wave equation. This equation is approximated by a multi-term fractional diffusion-wave equation, which is then solved by a compact ...
Ye, H., Liu, F., Anh, V.
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Numerical simulation for the three-dimension fractional sub-diffusion equation [PDF]
, 2014 Fractional sub-diffusion equations have been widely used to model sub-diffusive systems. Most algorithms are designed for one-dimensional problems due to the memory effect in fractional derivative.
Liu, Q. +6 more
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
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A meshless method based on Point Interpolation Method (PIM)\ud for the space fractional diffusion equation [PDF]
, 2015 This paper aims to develop a meshless approach based on the Point Interpolation Method (PIM) for numerical simulation of a space fractional diffusion equation.
Liu, Fawang +5 more
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Modelling solute transport in soil columns using advective-dispersive equations with fractional spatial derivatives [PDF]
, 2010 Solute transport in soils is commonly simulated with the advective–dispersive equation, or ADE. It has been reported that this model cannot take into account several important features of solute movement through soil.
San Jose Martinez, Fernando
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