Work

Spectral Theory for Compact and Self‐Adjoint Fractional Resolvent Families

Year: 2025

Type: article

Abstract: ABSTRACT This paper concerns with self‐adjoint fractional resolvent families. We show that a self‐adjoint operator generating a fractional resolvent family if and only if is bounded above. And a spectral decomposition form for compact and self‐adjoint fractional resolvent families is provided. We apply such decomposition to study the ergodic limits for the solutions of some inhomogeneous fractional differential equations.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10983

Authors: Kun‐Yi Zhang, Miao Li

Institution: Sichuan University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4409608406

FWCI: 1.876

Cites: 16

Cited by: 1

Related to: 10