A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples

F. Ayça Çetinkaya; Gage Plott

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arXiv · 2502.10529

A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples

F. Ayça Çetinkaya·Gage Plott

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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 present numerical examples to demonstrate the practical implications of our approach.

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BibTeX RIS

F. Ayça Çetinkaya, Gage Plott. 2025-02-14. A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples. https://arxiv.org/abs/2502.10529

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