Inverse problems for a conformable fractional Sturm-Liouville operator


Adalar İ. , ÖZKAN A. S.

Journal of Inverse and Ill-Posed Problems, 2020 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.1515/jiip-2019-0058
  • Title of Journal : Journal of Inverse and Ill-Posed Problems

Abstract

© 2020 Walter de Gruyter GmbH, Berlin/Boston.In this paper, a Sturm-Liouville boundary value problem which includes conformable fractional derivatives of order α, 0 < α ≤ 1 is considered. We give some uniqueness theorems for the solutions of inverse problems according to the Weyl function, two given spectra and classical spectral data. We also study the half-inverse problem and prove a Hochstadt-Lieberman-type theorem.