Work

Direct and inverse abstract Cauchy problems with fractional powers of almost sectorial operators

Year: 2026

Type: article

Abstract: We derive the explicit solution operator of an abstract Cauchy problem involving a time-variable coefficient and a fractional power of an almost sectorial operator. The time-variable coefficient is recovered by solving the inverse abstract Cauchy problem using the solution operator representation. As a complement, we also study similar problems by considering almost sectorial operators that depend on a time-variable.

Source: Fractional Calculus and Applied Analysis

DOI: 10.1007/s13540-026-00513-w

Author: Joel E. Restrepo

Institution: Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,590

Funder: Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional