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Time-fractional kinetic equation for the non-Markovian kinetic processes

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 نشر من قبل Ekrem Aydiner Dr
 تاريخ النشر 2021
  مجال البحث فيزياء
والبحث باللغة English
 تأليف E. Aydiner




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In this study, we analytically formulated the path integral representation of the conditional probabilities for non-Markovian kinetic processes in terms of the free energy of the thermodynamic system. We carry out analytically the time-fractional kinetic equations for these processes. Thus, in a simple way, we generalize path integral solutions of the Markovian to the non-Markovian cases. We conclude that these pedagogical results can be applied to some physical problems such as the deformed ion channels, internet networks and non-equilibrium phase transition problems.



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