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
Journal
Journal of Inverse and Ill-Posed Problems
Publisher
Walter de Gruyter GmbH
Language
English
Status
Published
Link
External link
DOI
10.1515/JIIP-2018-0079
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
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