English

A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples

Spectral Theory 2025-03-19 v2

Abstract

In this paper, we study a Dirac boundary value problem where the operator is considered with a derivative of order α(0,1]\alpha \in (0, 1], known as the FαF^{\alpha}-derivative. We prove some spectral properties of eigenvalues and eigenfunctions and present numerical examples to demonstrate the practical implications of our approach.

Keywords

Cite

@article{arxiv.2502.10529,
  title  = {A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples},
  author = {F. Ayça Çetinkaya and Gage Plott},
  journal= {arXiv preprint arXiv:2502.10529},
  year   = {2025}
}
R2 v1 2026-06-28T21:45:00.465Z