Time-fractional kinetic equation for the non-equilibrium processes

Aydıner E.

Scientific Reports, vol.1, no.1, pp.1-11, 2021 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 1 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1038/s41598-021-00135-7
  • Journal Name: Scientific Reports
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, BIOSIS, CAB Abstracts, Chemical Abstracts Core, EMBASE, MEDLINE, Veterinary Science Database, Directory of Open Access Journals
  • Page Numbers: pp.1-11
  • Istanbul University Affiliated: Yes


In this study, we analytically formulated the path integral representation of the conditional probabilities for the non-equilibrium and non-Markovian kinetic processes in terms of the free energy of the thermodynamic system. We analytically obtain the time-fractional kinetic equations for these
processes. Additionally, we give an example to discuss the time-fractional kinetic equation for the
open probability depend on the Helmholtz free energy of the non-equilibrium and non-Markovian
channel system.