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, vol.36, no.7, pp.2461-2474, 2022 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 36 Issue: 7
Publication Date: 2022
Doi Number: 10.2298/fil2207461a
Journal Name: Filomat
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Page Numbers: pp.2461-2474
Keywords: Conformable fractional Sturm-Liouville equation, dissipative operators, Livsic's theorem, completeness of the root vectors, CHARACTERISTIC VALUES, SPECTRAL-ANALYSIS, CLASSIFICATION
Süleyman Demirel University Affiliated: Yes

Abstract

© 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.