On the dissipative conformable fractional singular Sturm-Liouville operator

YÜKSEL YALÇINKAYA; Bilender P. Allahverdiev; Hüseyin Tuna

doi:10.26637/mjm1104/009

Abstract

In this study, we consider the dissipative conformable fractional singular Sturm-Liouville operator. Using Krein’s theorem, we proved a completeness theorem of the system of eigenvectors and associated vectors (or root vectors) of this operator.

Keywords:

Conformable fractional Sturm-Liouville equation, Dissipative operators, Completeness theorem

Mathematics Subject Classification:

34A08, 26A33, 34L10, 34L40, 34B40, 47H06

Authors Imprint References Funding Related Articles Downloads

YÜKSEL YALÇINKAYA Faculty of Science, Department of Mathematics, Süleyman Demirel University, Isparta, Turkey. https://orcid.org/0000-0002-1633-8343
Bilender P. Allahverdiev Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan and Research Center of Econophysics,UNEC-Azerbaijan State University of Economics,Baku, Azerbaijan. https://orcid.org/0000-0002-9315-4652
Hüseyin Tuna Faculty of Science, Department of Mathematics, Akif Ersoy University, Burdur, Turkey.

Pages: 457-464
Date Published: 01-10-2023
Vol. 11 No. 04 (2023): Malaya Journal of Matematik (MJM)

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