Conformable Eigenvalue Problems with Two Parameters

Abstract

This study used conformable derivatives to define the eigenvalue problems with two parameters and examined various associated spectral properties. Firstly, the conformable eigenvalue problems with two parameters were reduced to the simpler one parameter problems. Additionally, we focused on the orthogonality properties of eigenfunctions. Secondly, investigating the reality of eigenvalues is important to understand the physical relevance and practical usability of the considered eigenvalue problem. Finally, we examined integral relations, which explain important connections and relationships between different aspects of the problem.