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Journals / Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi / 2020 / Cilt: 7 - Sayı: 2

Conformable Sturm-Liouville Problem with Modified Coulomb Potential

Modifiye Edilmiş Coulomb Potansiyelli Conformable Sturm-Liouville Problemi

Erdal BAŞ
İsam NAJEMADEEN
Pages
698–713
Publication Date
2020-12-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results are shown comparatively by figures.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, Conformable derivative order version of the Sturm-Liouville problem having modified Coulomb potential is obtained.
📊
Key Findings & Data:The studied system proves the shape of the conformable derivative general statement of the Sturm-Liouville operator with boundary conditions.
💡
Conclusion & Impact:The results are shown comparatively by figures.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Conformable derivative · Eigenvalue · Eigenfunctions

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.

Özet

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.

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Cite This Article

BAŞ, E., NAJEMADEEN, İ. (2020). Conformable Sturm-Liouville Problem with Modified Coulomb Potential. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, Cilt: 7 - Sayı: 2, 698–713. https://ajindex.com/articles/251670

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