A Fractal Dirac Eigenvalue Problem: Spectral Properties and Numerical Examples

2025/02/14 by Çetinkaya, F. Ayça, Plott, Gage
#FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2502.10529

Abstract

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

Related

• Spectral theory of boundary value problems for Dirac type operators
• Linear and nonlinear eigenvalue problems for Dirac systems in unbounded\n domains
• Gradient of eigenvalues of Dirac operators and its applications
• Spectral functions of the Dirac operator under local boundary conditions
• Remarks on the spectrum of the Dirac operator