A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples
Abstract
In this paper, we study a Dirac boundary value problem where the operator is considered with a derivative of order $\alpha \in (0, 1]$, known as the $F^\alpha$-derivative. We prove some spectral properties of eigenvalues and eigenfunctions, and we present numerical examples to demonstrate the practical implications of our approach.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Algebraic and Geometric Analysis
Quantum chaos and dynamical systems
Publication details
- Journal / source
- SARAJEVO JOURNAL OF MATHEMATICS
- Volume
- 22
- Issue
- 01
- Pages
- 85–97
- Publication date
- 27 July 2026
- Language
- EN