https://doi.org/10.1140/epjs/s11734-021-00323-6
Regular Article
Continuous time random walk to a general fractional Fokker–Planck equation on fractal media
1
Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People’s Republic of China
2
Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, 641100, Neijiang, People’s Republic of China
Received:
16
July
2021
Accepted:
30
October
2021
Published online:
17
November
2021
A general fractional calculus is described using fractional operators with respect to another function, and some often used propositions are presented in this framework. Together with the continuous time random walk (CTRW), a general time-fractional Fokker–Planck equation is derived and the governing equation meets the general fractional derivative. Finally, various new probability density functions are proposed in this paper.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021
