Work

Global existence and exponential stability of a fractionally damped plate equation with past history

Year: 2025

Type: article

Abstract: This paper is an extension of our earlier research[1]. In this article, we discussed the fractionally damped plate equation with infinite memory. We proved that solutions are global under different initial and boundary conditions. Subsequently, we investigated the exponential stability of the solutions through Lyapunov functionals in order to establish stability conditions sufficient for stability analysis.

Source: Electronic Research Archive

DOI: 10.3934/era.2025199

Authors: Muhammad Fahim Aslam, Jianghao Hao, Salah Boulaaras, Luqman Bashir

Institutions: Shanxi University, University of Kotli, Azad Jammu and Kashmir, Qassim University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,000

Funder: Qassim University