Polynomial Stabilization of the Heat Equation on the Half-Line With Locally Distributed Control Using the Conformable Derivative

Babacar Diouf, Zainoul Habidine Ndiaye and Cheikh Seck

Journal of Applied Mathematics, 2026, vol. 2026, 1-9

Abstract: We study the polynomial stabilization of the heat equation on the half-line with a locally distributed control, in the framework of the conformable derivative. We show that the stable invariant subspaces generalize naturally and that the stabilization rate becomes t−αN+1/4. A numerical validation is proposed to illustrate the theoretical results. Perspectives on the optimization of the time-cost trade-off for controllability are outlined.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:2499358

DOI: 10.1155/jama/2499358

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