Conformable Sturm-Liouville Problem with Modified Coulomb Potential

Erdal BAŞ; İsam NAJEMADEEN

doi:https://doi.org/10.35193/bseufbd.668272

Article Details

Conformable Sturm-Liouville Problem with Modified Coulomb Potential

Authors:

Erdal BAŞ | İsam NAJEMADEEN

Publisher:

Bilecik Seyh Edebali University

Main Topics:

Astronomy and allied sciences

Journal:

Bilecik Seyh Edebali University Journal of Science 2020 Vol.7 Issue 2, pp.698-713

Document Type:

Article

Publication Date:

12/2020

Document Language:

English

Document ID (Org No.):

2000891307

Frequency:

Bi-Annual

eISSN:

2458-7575

DOI:

https://doi.org/10.35193/bseufbd.668272

Keywords:

Abstract:

 

In this paper, Conformable derivative order version of the Sturm-Liouville problem having modified Coulomb potential is obtained. The studied system proves the shape of the conformable derivative general statement of the Sturm-Liouville operator with boundary conditions. Furthermore, real of eigenvalues and α-orthogonal of eigenfunctions have been proved for the problem considered. Additionally, the representation of the solution of the Sturm-Liouville problem having modified Coulomb potential is found. The results are shown comparatively by figures.

 

Bu makalede, modifiye edilmiş Coloumb Potansiyele sahip Sturm Liouville probleminin uyumlu mertebeli versiyonu elde edilmiştir. Çalışılan sistem sınır koşullarıyla Sturm Liouville operatörünün uyumlu türevli daha genel bir formatı ispatlanmıştır. Ayrıca, gözününe alınan bu problem için özdeğerlerin reeliği ve özfonksiyonların α- ortoganalliğini ispatlamıştır. İlaveten modifiye edilmiş Coloumb Potansiyele sahip Sturm Liouville problemin çözümünün görüntüsü bulunmuştur. Sonuçlar grafiklerle karşılaştırmalı olarak gösterilmiştir.

Article Details

Conformable Sturm-Liouville Problem with Modified Coulomb Potential

Authors:

Erdal BAŞ | İsam NAJEMADEEN

Publisher:

Bilecik Seyh Edebali University

Main Topics:

Astronomy and allied sciences

Journal:

Bilecik Seyh Edebali University Journal of Science 2020 Vol.7 Issue 2, pp.698-713

Document Type:

Article

Publication Date:

12/2020

Document Language:

English

Document ID (Org No.):

2000891307

Frequency:

Bi-Annual

eISSN:

2458-7575

DOI:

https://doi.org/10.35193/bseufbd.668272

Conformable türev

Coulomb potansiyeli

Özdeğer

Özfonksiyonlar

Spektral

Issues

Article Details

Conformable Sturm-Liouville Problem with Modified Coulomb Potential

Authors: Erdal BAŞ | İsam NAJEMADEEN

Publisher: Bilecik Seyh Edebali University

Main Topics: Astronomy and allied sciences

Journal: Bilecik Seyh Edebali University Journal of Science 2020 Vol.7 Issue 2, pp.698-713

Document Type: Article

Publication Date: 12/2020

Document Language: English

Document ID (Org No.): 2000891307

Frequency: Bi-Annual

eISSN: 2458-7575

DOI: https://doi.org/10.35193/bseufbd.668272

Conformable türev

Coulomb potansiyeli

Özdeğer

Özfonksiyonlar

Spektral

Issues

Authors:

Erdal BAŞ | İsam NAJEMADEEN

Publisher:

Bilecik Seyh Edebali University

Main Topics:

Astronomy and allied sciences

Journal:

Bilecik Seyh Edebali University Journal of Science 2020 Vol.7 Issue 2, pp.698-713

Document Type:

Article

Publication Date:

12/2020

Document Language:

English

Document ID (Org No.):

2000891307

Frequency:

Bi-Annual

eISSN:

2458-7575

DOI:

https://doi.org/10.35193/bseufbd.668272