Modified Conformable Self Adjoint Equation and Sturm Liouville Problems with Applications

Authors

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

Keywords:

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

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

2010 Mathematics Subject Classification. 34B24; 26A33

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Published

2025-12-07

How to Cite

Ahmed Bouchenak, Iqbal M. Batiha, Mazin Aljazzazi, Iqbal H. Jebril, Fakhreddine Seddiki, & Rasha Ibrahim Hajaj. (2025). Modified Conformable Self Adjoint Equation and Sturm Liouville Problems with Applications. Jordan Journal of Mathematics and Statistics, 18(4), 551–565. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1518

Issue

Vol. 18 No. 4 (2025)

Section

Articles