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1/2-Order Fractional Fokker–Planck Equation on Comblike Model

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Abstract

From the generalized scheme of random walks on the comblike structure, it is shown how a 1/2-order fractional Fokker–Planck equation can be derived. The operator method for the moments associated with the distribution function p(x,t) is used to solve the resulting equation. Also the anomalous diffusion along the backbone of the structure has been considered.

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Zahran, M.A. 1/2-Order Fractional Fokker–Planck Equation on Comblike Model. Journal of Statistical Physics 109, 1005–1016 (2002). https://doi.org/10.1023/A:1020420409364

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