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Evolution of the initial box-signal for time-fractional diffusion–wave equation in a case of different spatial dimensions

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  • Povstenko, Y.Z.

Abstract

In the case of time-fractional diffusion–wave equation considered in the spatial domain −∞

Suggested Citation

  • Povstenko, Y.Z., 2010. "Evolution of the initial box-signal for time-fractional diffusion–wave equation in a case of different spatial dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4696-4707.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:21:p:4696-4707
    DOI: 10.1016/j.physa.2010.06.049
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    References listed on IDEAS

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    1. Metzler, Ralf & Compte, Albert, 1999. "Stochastic foundation of normal and anomalous Cattaneo-type transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(3), pages 454-468.
    2. Metzler, Ralf & Klafter, Joseph, 2000. "Boundary value problems for fractional diffusion equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(1), pages 107-125.
    3. Godoy, Salvador & Garcı́a-Colı́n, L.S., 1998. "Mesoscopic diffusion as a non-Markov process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(3), pages 414-428.
    4. García-Colín, L.S. & Olivares-Robles, M.A., 1995. "Hyperbolic type transport equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(1), pages 165-172.
    5. Lenzi, E.K. & Mendes, R.S. & Gonçalves, G. & Lenzi, M.K. & da Silva, L.R., 2006. "Fractional diffusion equation and Green function approach: Exact solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 215-226.
    6. Lenzi, E.K. & da Silva, L.R. & Silva, A.T. & Evangelista, L.R. & Lenzi, M.K., 2009. "Some results for a fractional diffusion equation with radial symmetry in a confined region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 806-810.
    7. Gafiychuk, V.V. & Datsko, B.Yo., 2006. "Pattern formation in a fractional reaction–diffusion system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 300-306.
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    Cited by:

    1. Deng, Kaiying & Chen, Minghua & Sun, Tieli, 2015. "A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 264-273.

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