Exterior controllability properties of a nonlocal Moore--Gibson--Thompson equation
Carlos Lizama, M. Warma, Sebastian Zamorano
TL;DR
This paper investigates the controllability properties of a fractional Laplace-based Moore--Gibson--Thompson equation, focusing on exact, null, and approximate controllability from exterior conditions.
Contribution
It provides a novel analysis of controllability for a nonlocal Moore--Gibson--Thompson equation with exterior Dirichlet conditions.
Findings
Established conditions for exact controllability
Analyzed null controllability under exterior conditions
Explored approximate controllability for the equation
Abstract
The three concepts of exact, null and approximate controllabilities are analyzed from the exterior of the Moore--Gibson--Thompson equation associated with the fractional Laplace operator subject to the nonhomogeneous Dirichlet type exterior condition.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Stability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering