Публікація: Fractional contact model in the continuum
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Автори
Kochubei, Anatoly N.
Kondratiev, Yuri G.
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Анотація
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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Ключові слова
Contact model in the continuum, correlation functions, Caputo-Djrbashian fractional derivative, Mittag-Leffler function
Бібліографічний опис
Kochubei, A. N. Fractional contact model in the continuum / A. N. Kochubei, Yu. G. Kondratiev // Methods of Functional Analysis and Topology : Quarterly journal. – 2015. – Vol. 21, № 2. – pp. 179-187.