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.
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页数:7
相关论文
共 24 条
[1]   An efficient method for solving fractional Sturm-Liouville problems [J].
Al-Mdallal, Qasem M. .
CHAOS SOLITONS & FRACTALS, 2009, 40 (01) :183-189
[2]  
[Anonymous], 2006, THEORY APPL FRACTION, DOI DOI 10.1016/S0304-0208(06)80001-0
[3]  
[Anonymous], 1999, MATH SCI ENG
[4]  
[Anonymous], 2000, Applications of Fractional Calculus in Physics
[5]  
[Anonymous], P 13 INT CARP CONTR
[6]  
[Anonymous], 1993, INTRO FRACTIONAL CA
[7]  
[Anonymous], 2005, STURM LIOUVILLE THEO
[8]  
[Anonymous], INTRO STURM LIOUVILL
[9]  
Baleanu D, 2011, HACET J MATH STAT, V40, P581
[10]  
Carpinteri A., 1998, Fractals and Fractional Calculus in Continuum Mechanics