Fractional reaction-diffusion

被引：268
|
作者：
Henry, BI [1 ]
Wearne, SL [1 ]
机构：
[1] Univ New S Wales, Dept Appl Math, Sch Math, Sydney, NSW 2052, Australia
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2000年 / 276卷 / 3-4期
关键词：
D O I：
10.1016/S0378-4371(99)00469-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive a fractional reaction-diffusion equation from a continuous-time random walk model with temporal memory and sources. The equation provides a general model for reaction-diffusion phenomena with anomalous diffusion such as occurs in spatially inhomogeneous environments. As a first investigation of this equation ae consider the special case of single species fractional reaction-diffusion in one dimension and show that the fractional diffusion does not by itself precipitate a Turing instability. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：448 / 455
页数：8
相关论文
共 50 条
  • [1] Fractional reaction-diffusion equation
    Seki, K
    Wojcik, M
    Tachiya, M
    JOURNAL OF CHEMICAL PHYSICS, 2003, 119 (04): : 2165 - 2170
  • [2] On a fractional reaction-diffusion equation
    de Andrade, Bruno
    Viana, Arlucio
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (03):
  • [3] Fractional reaction-diffusion equations
    Saxena, R. K.
    Mathai, A. M.
    Haubold, H. J.
    ASTROPHYSICS AND SPACE SCIENCE, 2006, 305 (03) : 289 - 296
  • [4] Fractional Reaction-Diffusion Equations
    R. K. Saxena
    A. M. Mathai
    H. J. Haubold
    Astrophysics and Space Science, 2006, 305 : 289 - 296
  • [5] Passivity of fractional reaction-diffusion systems
    Cao, Yan
    Zhou, Wei-Jie
    Liu, Xiao-Zhen
    Wu, Kai-Ning
    APPLIED MATHEMATICS AND COMPUTATION, 2024, 476
  • [6] ON THE SOLUTIONS OF FRACTIONAL REACTION-DIFFUSION EQUATIONS
    Singh, Jagdev
    Kumar, Devendra
    Rathore, Sushila
    MATEMATICHE, 2013, 68 (01): : 23 - 32
  • [7] A fractional reaction-diffusion description of supply and demand
    Benzaquen, Michael
    Bouchaud, Jean-Philippe
    EUROPEAN PHYSICAL JOURNAL B, 2018, 91 (02):
  • [8] Ergodicity of the stochastic fractional reaction-diffusion equation
    Guo, Boling
    Zhou, Guoli
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 109 : 1 - 22
  • [9] On the Steady Solutions of Fractional Reaction-Diffusion Equations
    Fazli, Hossein
    Bahrami, Fariba
    FILOMAT, 2017, 31 (06) : 1655 - 1664
  • [10] On the Speed of Spread for Fractional Reaction-Diffusion Equations
    Engler, Hans
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 2010
12345