Spectral Approach to Fractional Power of Operator and Its Matrix Approximation
Abstract
This article is devoted to constructing of fractional powers of operators and their matrix approximations. A key feature of this study is the use of a spectral approach that remains applicable even when the base operator does not generate a semigroup. Our main results include the convergence rate of matrix approximation, derived from resolvent estimates, and a practical algorithm for constructing matrix approximations. The theory is supported by examples.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Differential Equations Analysis
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Fractal and Fractional
- Volume
- 10
- Issue
- 2
- Pages
- 121–121
- Publication date
- 12 February 2026
- Language
- EN