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

被引：6
|
作者：
Allahverdiev, Bilender P. [1 ]
Tuna, Huseyin [2 ]
Yalcinkaya, Yuksel [1 ]
机构：
[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey
[2] Mehmet Akif Ersoy Univ, Dept Math, TR-15030 Burdur, Turkey
来源：
FILOMAT | 2022年 / 36卷 / 07期
关键词：
Conformable fractional Sturm-Liouville equation; dissipative operators; Livsic's theorem; completeness of the root vectors; CHARACTERISTIC VALUES; SPECTRAL-ANALYSIS; CLASSIFICATION;
D O I：
10.2298/FIL2207461A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the singular dissipative conformable fractional Sturm-Liouville operators. A completeness theorem for these operators is proved.
引用
收藏
页码：2461 / 2474
页数：14
相关论文
共 50 条
  • [1] Completeness theorem for the dissipative Sturm-Liouville operator on bounded time scales
    Hüseyin Tuna
    Indian Journal of Pure and Applied Mathematics, 2016, 47 : 535 - 544
  • [2] COMPLETENESS THEOREM FOR THE DISSIPATIVE STURM-LIOUVILLE OPERATOR ON BOUNDED TIME SCALES
    Tuna, Huseyin
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2016, 47 (03): : 535 - 544
  • [3] Inverse problems for a conformable fractional Sturm-Liouville operator
    Adalar, Ibrahim
    Ozkan, Ahmet Sinan
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2020, 28 (06): : 775 - 782
  • [4] A uniqueness theorem for singular Sturm-liouville operator
    Kayalar, Mehmet
    AFRIKA MATEMATIKA, 2023, 34 (03)
  • [5] A uniqueness theorem for singular Sturm-liouville operator
    Mehmet Kayalar
    Afrika Matematika, 2023, 34
  • [6] A REPRESENTATION FORMULA FOR THE RESOLVENT OF CONFORMABLE FRACTIONAL STURM-LIOUVILLE OPERATOR
    Allahverdiev, Bilender P.
    Tuna, Huseyin
    Yalcinkaya, Yuksel
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2024, 39 (01): : 141 - 151
  • [7] Fractional singular Sturm-Liouville operator for Coulomb potential
    Bas, Erdal
    Metin, Funda
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [8] Fractional singular Sturm-Liouville operator for Coulomb potential
    Erdal Bas
    Funda Metin
    Advances in Difference Equations, 2013
  • [9] Conformable fractional Sturm-Liouville equation
    Allahverdiev, Bilender P.
    Tuna, Huseyin
    Yalcinkaya, Yuksel
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (10) : 3508 - 3526
  • [10] Dissipative eigenvalue problems for a Sturm-Liouville operator with a singular potential
    Bodenstorfer, B
    Dijksma, A
    Langer, H
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2000, 130 : 1237 - 1257
12345