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The fractional Fokker–Planck equation on comb-like model

Author

Listed:
  • Zahran, M.A.
  • Abulwafa, E.M.
  • Elwakil, S.A.

Abstract

The fractional Fokker–Planck equation, were used to describe the anomalous diffusion in external fields, is derived using a comb-like structure as a background model. For the force-free case, the distribution function associated with space dependence diffusion coefficient along the backbone of the structure are obtained in a closed form of H-function. The operator method has been used to solve the fractional Fokker–Planck equation taking the external field into account.

Suggested Citation

  • Zahran, M.A. & Abulwafa, E.M. & Elwakil, S.A., 2003. "The fractional Fokker–Planck equation on comb-like model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 237-248.
    • Handle: RePEc:eee:phsmap:v:323:y:2003:i:c:p:237-248
    DOI: 10.1016/S0378-4371(02)02026-5
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    Cited by:

    1. Endre Csáki & Antónia Földes, 2020. "Random Walks on Comb-Type Subsets of $$\mathbb {Z}^2$$ Z 2," Journal of Theoretical Probability, Springer, vol. 33(4), pages 2233-2257, December.
    2. Csáki, Endre & Csörgo, Miklós & Földes, Antónia & Révész, Pál, 2011. "On the local time of random walk on the 2-dimensional comb," Stochastic Processes and their Applications, Elsevier, vol. 121(6), pages 1290-1314, June.

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