Inverse nodal problem with fractional order conformable type derivative
Authors
A. Sa'idu
- Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey.
H. Koyunbakan
- Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey.
K. Shah
- Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia.
- Department of Mathematics, University of Malakand, Chakdara Dir(L) 18000, Khyber Pakhtunkhwa, Pakistan.
Th. Abdeljawad
- Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia.
Abstract
The present paper is about the inverse nodal problem for Sturm-Liouville problem with eigenparameter in the boundary condition using the conformable derivative approach. We defined a function \(f(\mu )\) generally in the boundary condition and we found the zeros of the eigenfunctions (nodal points) by nucleus function \(K(x,t)\), which is a derived transformation
operator. Then, we obtained the potential function by using the nodal parameters.
Share and Cite
ISRP Style
A. Sa'idu, H. Koyunbakan, K. Shah, Th. Abdeljawad, Inverse nodal problem with fractional order conformable type derivative, Journal of Mathematics and Computer Science, 34 (2024), no. 2, 144--151
AMA Style
Sa'idu A., Koyunbakan H., Shah K., Abdeljawad Th., Inverse nodal problem with fractional order conformable type derivative. J Math Comput SCI-JM. (2024); 34(2):144--151
Chicago/Turabian Style
Sa'idu, A., Koyunbakan, H., Shah, K., Abdeljawad, Th.. "Inverse nodal problem with fractional order conformable type derivative." Journal of Mathematics and Computer Science, 34, no. 2 (2024): 144--151
Keywords
- Sturm Liouville problem
- conformable derivative
- nodal points
- potential function
- eigenparameter
MSC
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