A Completeness Theorem for Dissipative Conformable Fractional Sturm-Liouville Operator in Singular Case

Allahverdiev, Bilender; Tuna, Hüseyin; Yalçınkaya, Yüksel

doi:10.2298/fil2207461a

A Completeness Theorem for Dissipative Conformable Fractional Sturm-Liouville Operator in Singular Case

Allahverdiev B. P., Tuna H., Yalçınkaya Y.

Filomat, cilt.36, sa.7, ss.2461-2474, 2022 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 36 Sayı: 7
Basım Tarihi: 2022
Doi Numarası: 10.2298/fil2207461a
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Sayfa Sayıları: ss.2461-2474
Anahtar Kelimeler: Conformable fractional Sturm-Liouville equation, dissipative operators, Livsic's theorem, completeness of the root vectors, CHARACTERISTIC VALUES, SPECTRAL-ANALYSIS, CLASSIFICATION
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

© 2022, University of Nis. All rights reserved.This paper is concerned with the singular dissipative conformable fractional Sturm-Liouville operators. A completeness theorem for these operators is proved.