Fractional singular Sturm-Liouville operator for Coulomb potential

Abstract

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. MSC: 26A33; 34A08

Energy-dependent fractional Sturm-Liouville impulsive problem

“…In recent years, however, the theory of fractional Sturm-Liouville which is become more advantageous than the classical models has drawn interest so much. Some initial study has done about fractional Sturm-Liouville problem [5][6][7][8][9][10][11]. In [5,6], Klimek and Agrawal investigated fractional Sturm-Liouville operator involving left-sided Riemann-Liouville derivative (RLD) and right-sided Caputo derivative (CD).…”

Conformable fractional Sturm-Liouville equation and some existence results on time scales

“…In recent * Correspondence: emrah231983@gmail.com 2010 AMS Mathematics Subject Classification: 34N05, 26A33, 74H20 years, several authors have obtained important results about different subjects on time scales (see [3,12,13]). Although there are many studies on time scales in the literature, very few studies have been conducted about BVPs (see [2,7,11,15,16,18,19,22,30,33,35]). …”

A Note on Sturm-Liouville Problem for Difference Equations

“…Sturm-Liouville problem has an important role because of a lot of applications in mathematical physics. Sutrm-Liouville differential and also difference equations were studied by variable authors [1][2][3][4][5][6]. Oscillation criteria and asymptotic behaviours of delay difference equations were studied by [7][8][9][10][11][12][13][14].…”