Existence, comparison, and monotonicity of principal eigenvalues of fractional Sturm-Liouville problems involving Riemann-Liouville derivatives
Abstract
Abstract Recent studies have shown that the Sturm-Liouville problem $$-Au=\lambda u$$ - A u = λ u with zero boundary conditions on an interval has no principal eigenvalue when A is the Caputo fractional derivative "Equation missing" , provided that $$\alpha $$ α is sufficiently close to 1. It has been shown that the principal eigenvalue, denoted by $$\lambda (\alpha ),$$ λ ( α ) , always exists when A is the Riemann-Liouville fractional derivative $${\mathcal {D}_{a+}^{\alpha }}$$ D a + α for any $$1
Fields of Study & Subjects
Differential Equations and Boundary Problems
Fractional Differential Equations Solutions
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Fractional Calculus and Applied Analysis
- Publisher
- Springer Science and Business Media LLC
- Volume
- 29
- Issue
- 1
- Pages
- 1–25
- Publication date
- 23 January 2026
- Language
- EN