Inverse problems for a conformable fractional Sturm-Liouville operator

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Adalar İ., Özkan A. S.

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, vol.28, no.6, pp.775-782, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.1515/jiip-2019-0058
  • Journal Name: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.775-782
  • Keywords: Inverse problem, conformable fractional derivatives, Weyl function, Hochstadt-Lieberman theorem, SPECTRAL PROBLEMS, BOUNDARY
  • Sivas Cumhuriyet University Affiliated: Yes

Abstract

In this paper, a Sturm-Liouville boundary value problem which includes conformable fractional derivatives of order a, 0 <= alpha <= 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.