A stability result for the determination of order in time-fractional diffusion equations

This paper deals with an inverse problem of the determination of the fractional order in time-fractional diffusion equations from one interior point observation. We give a representation of the solution via the Mittag-Leffler function and eigenfunction expansion, from which the Lipschitz stability of the fractional order with respect to the measured data at the interior point is established. © 2019 Walter de Gruyter GmbH, Berlin/Boston 2019.

Authors
Li Z.1 , Huang X.2 , Yamamoto M. 2, 3, 4
Publisher
Walter de Gruyter GmbH
Language
English
Status
Published
Year
2020
Organizations
  • 1 School of Mathematics and Statistics, Shandong University of Technology, Zibo, Shandong, 255049, China
  • 2 Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan
  • 3 Honorary Member of Academy of Romanian Scientists, Splaiul Independentei Street, no 54, Bucharest, 050094, Romania
  • 4 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
inverse problem; Laplace transform; stability; Time-fractional diffusion equation
Date of creation
10.02.2020
Date of change
10.02.2020
Short link
https://repository.rudn.ru/en/records/article/record/56597/