TITLE:
Spectral Analysis for Fractional Hydrogen Atom Equation
AUTHORS:
Erdal Bas, Funda Metin
KEYWORDS:
Sturm-Liouville, Fractional, Hydrogen Atom, Singular, Spectral
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.13,
November
9,
2015
ABSTRACT: In this paper, spectral analysis of fractional Sturm Liouville problem defined on (0, 1], having the singularity of type at zero and researched the fundamental properties of the eigenfunctions and eigenvalues for the operator. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively.