The fractional Fokker–Planck equation on comb-like model
M.A. Zahran,
E.M. Abulwafa and
S.A. Elwakil
Physica A: Statistical Mechanics and its Applications, 2003, vol. 323, issue C, 237-248
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.
Keywords: Fractional calculus; Anomalous diffusion; Operator method (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:323:y:2003:i:c:p:237-248
DOI: 10.1016/S0378-4371(02)02026-5
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