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Fractional contact model in the continuum

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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.

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


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Article Information

TitleFractional contact model in the continuum
SourceMethods Funct. Anal. Topology, Vol. 21 (2015), no. 2, 179–187
MathSciNet 3407909
zbMATH 06533475
MilestonesRecieved 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


Citation Example

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


BibTex

@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 = {http://mfat.imath.kiev.ua/article/?id=753},
}


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