Computational of the eigenvalues of the fractional Sturm-Liouville problem

Authors

DOI:

https://doi.org/10.31489/2025m2/93-105

Keywords:

Fractional Sturm-Liouville, Asymptotic formula, Laplace transform, Mittag-Leffler functions, Eigenvalues

Abstract

We study the asymptotic distribution for eigenvalues of fourth-order fractional Sturm-Liouville with Dirichlet boundary condition. In this work, we use the inverse Laplace transform method and the Asymptotic formula of the Mittag-Leffler function to get an analytical solution of the fractional Sturm-Liouville problems. When the fractional-order approaches 1, our results agree with the classical ones of fourth-order differential equations.

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Published

2025-06-30

How to Cite

Jafari, M., & Saei, F. (2025). Computational of the eigenvalues of the fractional Sturm-Liouville problem. Bulletin of the Karaganda University. Mathematics Series, 118(2), 93–105. https://doi.org/10.31489/2025m2/93-105

Issue

2025 (118) 2

Section

MATHEMATICS