Advances in Pure Mathematics

Volume 5, Issue 13 (November 2015)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

Google-based Impact Factor: 0.50  Citations  h5-index & Ranking

Spectral Analysis for Fractional Hydrogen Atom Equation

HTML  XML Download Download as PDF (Size: 282KB)  PP. 767-773  
DOI: 10.4236/apm.2015.513070    2,767 Downloads   3,863 Views  Citations
Author(s)

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.

Share and Cite:

Bas, E. and Metin, F. (2015) Spectral Analysis for Fractional Hydrogen Atom Equation. Advances in Pure Mathematics, 5, 767-773. doi: 10.4236/apm.2015.513070.

Cited by

[1] An efficient numerical method for estimating eigenvalues and eigenfunctions of fractional Sturm–Liouville problems
2021
[2] Dünya Bankası Reel Verileri İle Gayri Safi Yurtiçi Hasıla Modeline Conformable Türev Yaklaşımı
Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri …, 2020
[3] Conformable Derivative Approach to Gross Domestic Product Model with Real Data of World Bank
2020
[4] Computing High-Index Eigenvalues of Singular Sturm–Liouville Problems
2019
[5] AN APPLICATION OF COMPARISON CRITERIA TO FRACTIONAL SPECTRAL PROBLEM HAVING COULOMB POTENTIAL.
Thermal Science, 2018
[6] p-Laplacian Fractional Sturm-Liouville Problem for Diffusion Operator via Impulsive Condition
2018
[7] Kesirli Sturm-Liouville problemlerinin spektral teorisi/The spectral theory of fractional Sturm-Liouville problems
2017
[8] AN APPLICATION OF COMPARISON CRITERIA TO FRACTIONAL SPECTRAL PROBLEM HAVING COLOUMB POTENTIAL
2017

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.