Publication: Fractional contact model in the continuum
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Authors
Kochubei, Anatoly
Kondratiev, Yurii
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TBiMC
Abstract
We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. This leads to a behavior of time-dependent correlation functions, essentially different from the one known for the standard contact model.
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Keywords
Contact model in the continuum, correlation functions, Caputo-Djrbashian fractional derivative, Mittag-Leffler function
Citation
Kochubei A. N. Fractional contact model in the continuum / A. N. Kochubei, Y. G. Kondratiev // Methods of Functional Analysis and Topology. – Kyiv, 2015. - Volume 21, number 2. - P. 179–187.