M-Strum-Liouville problem with modified coulomb potential
Volume 18, Issue 2, pp 101--109
https://dx.doi.org/10.22436/jnsa.018.02.03
Publication Date: March 12, 2025
Submission Date: September 21, 2021
Revision Date: November 15, 2024
Accteptance Date: December 14, 2024
Authors
E. Bas
- Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey.
M. Karaoglan
- Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey.
Abstract
In this article, we suggest important spectral data with boundary conditions for under the \(\mathcal{M}\)-derivative the Sturm-Liouville problem having modified Coulomb potential. We present the representation of the solution for the \(\mathcal{M}\)-Sturm-Liouville problem with a modified Coulomb potential, depending on both the boundary and initial conditions. Laplace transform and convolution property of \(\mathcal{M}\)-derivative are available to obtain some important results. In addition, the uniqueness of the \(\mathcal{M}\)-Sturm-Liouville problem solution with modified Coulomb potential is shown. We obtain a more generalized version of the Coulomb potential solution in classical analysis. Therefore, the purpose of this article is to observe the problem by supporting the spectral structure of the modified Coulomb potential \(\mathcal{M}\)-Sturm-Liouville problem with graphs.
Share and Cite
ISRP Style
E. Bas, M. Karaoglan, M-Strum-Liouville problem with modified coulomb potential, Journal of Nonlinear Sciences and Applications, 18 (2025), no. 2, 101--109
AMA Style
Bas E., Karaoglan M., M-Strum-Liouville problem with modified coulomb potential. J. Nonlinear Sci. Appl. (2025); 18(2):101--109
Chicago/Turabian Style
Bas, E., Karaoglan, M.. "M-Strum-Liouville problem with modified coulomb potential." Journal of Nonlinear Sciences and Applications, 18, no. 2 (2025): 101--109
Keywords
- Spectral data
- \(\mathcal{M}\)-derivative
- Sturm-Liouville problem
- modified Coulomb potential
MSC
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