Modified Conformable Self Adjoint Equation and Sturm Liouville Problems with Applications

Ahmed Bouchenak; Iqbal M. Batiha; Mazin Aljazzazi; Iqbal H. Jebril; Fakhreddine Seddiki; Rasha Ibrahim Hajaj

Modified Conformable Self Adjoint Equation and Sturm Liouville Problems with Applications

Ahmed Bouchenak
, Iqbal M. Batiha
, Mazin Aljazzazi
, Iqbal H. Jebril
, Fakhreddine Seddiki
, Rasha Ibrahim Hajaj

Nonlinear Dynamic Research Centre (NDRC)

University of Mascara
Near East University
Al-Zaytoonah University of Jordan
University of Jordan
University of Djelfa

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Within this research, we introduce a new modified conformable operator and study its properties in detail. Furthermore, we investigate the self-adjoint modified conformable equation and its connection to modified conformable initial value problems. Additionally, we analyze the modified conformable Sturm–Liouville problem, determining its eigenvalues and corresponding eigenfunctions, while establishing results on orthogonality and dependence. Finally, illustrative examples are provided to demonstrate the applicability of our findings.

Original language	English
Pages (from-to)	549-563
Number of pages	15
Journal	Jordan Journal of Mathematics and Statistics
Volume	18
Issue number	4
State	Published - 7 Dec 2025

Keywords

Dependence
Modified conformable derivative
Modified conformable integral
Modified conformable self adjoint equation
Modified conformable Sturm Liouville problem
Orthogonality

Cite this

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title = "Modified Conformable Self Adjoint Equation and Sturm Liouville Problems with Applications",

abstract = "Within this research, we introduce a new modified conformable operator and study its properties in detail. Furthermore, we investigate the self-adjoint modified conformable equation and its connection to modified conformable initial value problems. Additionally, we analyze the modified conformable Sturm–Liouville problem, determining its eigenvalues and corresponding eigenfunctions, while establishing results on orthogonality and dependence. Finally, illustrative examples are provided to demonstrate the applicability of our findings.",

keywords = "Dependence, Modified conformable derivative, Modified conformable integral, Modified conformable self adjoint equation, Modified conformable Sturm Liouville problem, Orthogonality",

author = "Ahmed Bouchenak and Batiha, \{Iqbal M.\} and Mazin Aljazzazi and Jebril, \{Iqbal H.\} and Fakhreddine Seddiki and Hajaj, \{Rasha Ibrahim\}",

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AU - Bouchenak, Ahmed

AU - Batiha, Iqbal M.

AU - Aljazzazi, Mazin

AU - Jebril, Iqbal H.

AU - Seddiki, Fakhreddine

AU - Hajaj, Rasha Ibrahim

PY - 2025/12/7

Y1 - 2025/12/7

N2 - Within this research, we introduce a new modified conformable operator and study its properties in detail. Furthermore, we investigate the self-adjoint modified conformable equation and its connection to modified conformable initial value problems. Additionally, we analyze the modified conformable Sturm–Liouville problem, determining its eigenvalues and corresponding eigenfunctions, while establishing results on orthogonality and dependence. Finally, illustrative examples are provided to demonstrate the applicability of our findings.

AB - Within this research, we introduce a new modified conformable operator and study its properties in detail. Furthermore, we investigate the self-adjoint modified conformable equation and its connection to modified conformable initial value problems. Additionally, we analyze the modified conformable Sturm–Liouville problem, determining its eigenvalues and corresponding eigenfunctions, while establishing results on orthogonality and dependence. Finally, illustrative examples are provided to demonstrate the applicability of our findings.

KW - Dependence

KW - Modified conformable derivative

KW - Modified conformable integral

KW - Modified conformable self adjoint equation

KW - Modified conformable Sturm Liouville problem

KW - Orthogonality

UR - https://www.scopus.com/pages/publications/105030373247

M3 - Article

AN - SCOPUS:105030373247

SN - 2075-7905

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SP - 549

EP - 563

JO - Jordan Journal of Mathematics and Statistics

JF - Jordan Journal of Mathematics and Statistics

IS - 4

ER -

Modified Conformable Self Adjoint Equation and Sturm Liouville Problems with Applications

Abstract

Keywords

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