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Fractional contact model in the continuum


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.

Key words: Contact model in the continuum, correlation functions, Caputo-Djrbashian fractional derivative, Mittag-Leffler function.

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TitleFractional contact model in the continuum
SourceMethods Funct. Anal. Topology, Vol. 21 (2015), no. 2, 179–187
MathSciNet   3407909
zbMATH 06533475
Milestones  Recieved 04/09/2014; Revised 30/11/2014
CopyrightThe Author(s) 2015 (CC BY-SA)

Authors Information

A. N. Kochubei
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

Yu. G. Kondratiev
Fakultat fur Mathematik, Universitat Bielefeld, Bielefeld, 33615, Germany

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Anatoly N. Kochubei and Yuri G. Kondratiev, Fractional contact model in the continuum, Methods Funct. Anal. Topology 21 (2015), no. 2, 179–187.


@article {MFAT753,
    AUTHOR = {Kochubei, Anatoly N. and Kondratiev, Yuri G.},
     TITLE = {Fractional contact model in the continuum},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {21},
      YEAR = {2015},
    NUMBER = {2},
     PAGES = {179–187},
      ISSN = {1029-3531},
  MRNUMBER = {3407909},
 ZBLNUMBER = {06533475},
       URL = {},


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