Asymptotic eigenvalue analysis for a conformable fractional Sturm–Liouville problem

OpenAlex İngilizce

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.