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On generalized fractional Cattaneo’s equations

Author

Listed:
  • Fernandez-Anaya, G.
  • Valdes-Parada, F.J.
  • Alvarez-Ramirez, J.

Abstract

This paper studies a family of generalized fractional Cattaneo’s equations for which passive (i.e., spontaneous) transport is possible. This is done by using fractional substitutions in integer-order rational transfer functions and showing conditions for positive realness.

Suggested Citation

  • Fernandez-Anaya, G. & Valdes-Parada, F.J. & Alvarez-Ramirez, J., 2011. "On generalized fractional Cattaneo’s equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4198-4202.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:23:p:4198-4202
    DOI: 10.1016/j.physa.2011.07.001
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    References listed on IDEAS

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    1. Meerschaert, Mark M. & Scheffler, Hans-Peter, 2008. "Triangular array limits for continuous time random walks," Stochastic Processes and their Applications, Elsevier, vol. 118(9), pages 1606-1633, September.
    2. Baeumer, B. & Benson, D.A. & Meerschaert, M.M., 2005. "Advection and dispersion in time and space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 245-262.
    3. Alvarez-Ramirez, Jose & Fernandez-Anaya, Guillermo & Valdes-Parada, Francisco J. & Alberto Ochoa-Tapia, J., 2006. "A high-order extension for the Cattaneo's diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 345-354.
    4. Valdes-Parada, Francisco J. & Alberto Ochoa-Tapia, J. & Alvarez-Ramirez, Jose, 2006. "Effective medium equation for fractional Cattaneo's diffusion and heterogeneous reaction in disordered porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 318-328.
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