A robust stability criterion in the heat equation with a conformable fractional derivative defined on a radially symmetric sphere
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| Auteurs: | , , , , |
|---|---|
| Format: | artículo original |
| Statut: | Versión publicada |
| Date de publication: | 2025 |
| Description: | In this paper, we present a robust stability criterion for a heat equation with axial symmetry and with a general time-conformable fractional derivative defined on a sphere. The heat equation is assumed to have a heat source that is represented as a Fourier series with coefficients described by bounded, piecewise continuous functions. The robust stability criterion establishes conditions to guarantee that the solution of the heat equation, along with its partial derivative with respect to the radial axis and its general timeconformable fractional derivative, remains bounded by a predetermined value. The robust stability criterion is obtained by extending the concept of stability under constant-acting perturbations applied to systems of ordinary differential equations. The results are illustrated numerically. |
| Pays: | Portal de Revistas UCR |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Langue: | Inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/57678 |
| Accès en ligne: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/57678 |
| Mots-clés: | Derivada fraccionaria conformable general Ecuación de calor Series de Fourier Estabilidad robusta General conformable fractional derivative Heat equation Fourier series Robust stability |