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Note that a fractional generalization of the FPE for Lévy type processes different from Eq. (2) was proposed in I. Sokolov, J. Klafter, and A. Blumen, Phys. Rev. E 64, 021107 (2001), where the Boltzmann stationarity is required as a condition.
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33645047868
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note
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2)<∞.
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29
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33645064483
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note
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α is the same as in the asymptotics of the Lévy stable PDF [1]; in this sense, it is "universal".
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