Open AccessAn application of comparison criteria to fractional spectral problem having Coloumb potential
Author(s) -
Erdal Baş,
Turk Metin Funda
Publication year - 2018
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci170612273b
Subject(s) - mathematical proof , sturm–liouville theory , boundary value problem , eigenvalues and eigenvectors , mathematics , graph , spectral properties , fractional calculus , spectral theory , mathematical analysis , physics , discrete mathematics , quantum mechanics , geometry , astrophysics , hilbert space
In this study, the zeros of eigen functions of spectral theory are considered in fractional Sturm-Liouville problem. The 1st and 2nd comparison theorems for fractional Sturm-Liouville equation with boundary condition and their proofs are given. In this way, our new approximation will contribute to construct fractional Sturm-Liouville theory. Also, its an application is given in case of Coulomb potential and the results are presented by a symbolic graph.