Asymptotic Eigenvalue Analysis for a Conformable Fractional Sturm--Liouville Problem
Abstract
This paper is devoted to the study of a Sturm--Liouville problem governed by the conformablefractional derivative of order $\alpha \in (0,1]$.We establish the asymptotic behavior of the corresponding eigenvalues subject to appropriateboundary conditions.Through the construction of suitable fundamental solutions and a detailed analysis of theassociated characteristic equation, explicit asymptotic eigenvalue formulas are obtained.These results elucidate the influence of the conformable fractional operator on the classicalspectral properties and lay a solid analytical foundation for further studies ofconformable fractional Sturm--Liouville theory.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Partial Differential Equations
Thermoelastic and Magnetoelastic Phenomena
Publication details
- Journal / source
- Communications in Advanced Mathematical Sciences
- Publisher
- Communications in Advanced Mathematical Sciences
- Volume
- 9
- Issue
- 2
- Pages
- 50–59
- Publication date
- 22 July 2026
- Language
- EN