Fractional singular Sturm-Liouville operator for Coulomb potential

被引：37

作者：

Bas, Erdal ^{[1
]}

Metin, Funda ^{[1
]}

机构：

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

fractional; Sturm-Liouville; Caputo; Coulomb; singular; spectral;

D O I：

10.1186/1687-1847-2013-300

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define a fractional singular Sturm-Liouville operator having Coulomb potential of type A/x. Our main issue is to investigate the spectral properties for the operator. Furthermore, we prove new results according to the fractional singular Sturm-Liouville problem.

引用

页数：13

共 29 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], ADV DIFFER EQU

[3]

[Anonymous], 2006, THEORY APPL FRACTION

[4]

[Anonymous], 2000, Applications of Fractional Calculus in Physics

[5]

[Anonymous], TAMSUI OXF J INF MAT

[6]

[Anonymous], 2012, ABSTR APPL AN

[7]

[Anonymous], 2003, FIXED POINT THEOR-RO, DOI DOI 10.1007/978-0-387-21593-8

[8]

[Anonymous], 1993, INTRO FRACTIONAL CA

[9]

[Anonymous], 2005, STURM LIOUVILLE THEO

[10]

[Anonymous], 1999, FRACTIONAL DIFFERENT

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