Work

Almost sure asymptotic stability of fractional stochastic nonlinear heat equation

Year: 2025

Type: article

Abstract: Recently, the fractional stochastic nonlinear heat equation in the Hilbert space L2(0; 1), driven by the fractional power of the Laplacian and perturbed by a trace-class noise has been studied by the first and the last authors. They have proved the wellposedness, the pth-moment exponential stability and the almost surely exponential stability of such problem in the semigroup framework. The current work is considered as a continuation of the previousely mentioned paper. More particularly, we establish the almost sure asymptotic stability under the same conditions imposed in our recent work, besides a regularity of the initial condition. Finally, some examples are provided to illustrate the obtained theory.

Source: Statistics Optimization & Information Computing

DOI: 10.19139/soic-2310-5070-2593

Authors: Zineb ARAB, Amel REDJIL, Mahmoud Mohamed El BORAI

Institutions: University of Batna 1, Badji Mokhtar-Annaba University, Alexandria University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4416895008

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