Work

Spectral Approach to Fractional Power of Operator and Its Matrix Approximation

Year: 2026

Type: article

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.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract10020121

Authors: Vassili N. Kolokoltsov, Elina L. Shishkina

Institutions: National Research University Higher School of Economics, Lomonosov Moscow State University, Moscow Center of Fundamental and Applied Mathematics, Chechen State University, Belgorod National Research University, Voronezh State University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

OpenAlex ID: W7128716208

FWCI:

Cites: 14

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