Work

DISCONTINUOUS FRACTIONAL BOUNDARY VALUE PROBLEMS WITH ORDER $ \alpha\in (1,2) $

Year: 2025

Type: article

Abstract: This paper focuses on investigating the discontinuous fractional Sturm-Liouville problem equipped with a transmission condition of order $ \alpha \in(1,2) $. Through rigorous analysis, it is demonstrated that the eigenvalues and their corresponding eigenfunctions of this problem coincide with those of the constructed operator in Hilbert space. Furthermore, a necessary and sufficient condition for the existence of eigenvalues is established, providing a theoretical foundation for the spectral characterization of such fractional boundary value problems.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240478

Authors: Jinwen Wu, Xiaoling Hao, Kun Li

Institutions: Inner Mongolia University, National Natural Science Foundation of China, Qufu Normal University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Shandong Province

Awards: G1075438754, G359293408, G4256240430