Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator

被引：24

作者：

Bas, Erdal ^{[1
]}

机构：

[1] Firat Univ, Dept Math, Fac Sci, TR-23119 Elazig, Turkey

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年

关键词：

D O I：

10.1155/2013/915830

中图分类号：

学科分类号：

摘要：

We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore, we prove new approximations about the topic.

引用

页数：7

共 24 条

[11]

Erturk VS, 2011, MATH COMPUT APPL, V16, P712, DOI DOI 10.3390/MCA16030712

[12] Thermal wave model of bioheat transfer with modified Riemann-Liouville fractional derivative [J].

Jiang, Xiaoyun ;

Qi, Haitao .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (48)

[13] The time fractional heat conduction equation in the general orthogonal curvilinear coordinate and the cylindrical coordinate systems [J].

Jiang, Xiaoyun ;

Xu, Mingyu .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (17) :3368-3374

[14]

Klimek M., 2009, On solutions of linear fractional dierential equations of a variational type

[15]

Levitan B. M., 1975, Introduction to Spectral Theory: Self-Adjoint Ordinary Differential Operators

[16] Martingale Morrey-Campanato Spaces and Fractional Integrals [J].

Nakai, Eiichi ;

Sadasue, Gaku .

JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,

[17] Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential [J].

Panakhov, Etibar S. ;

Sat, Murat .

BOUNDARY VALUE PROBLEMS, 2013,

[18]

Panakhov ES, 2012, APPL COMPUT MATH-BAK, V11, P74

[19] Eigenvalue problems of the model from nonlocal continuum mechanics [J].

Qi, Jiangang ;

Chen, Shaozhu .

JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (07)

[20]

Samko A. A., 1993, Fractional Integrals andDerivatives: Theory and Applications

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