A robust stability criterion in the heat equation with a conformable fractional derivative defined on a radially symmetric sphere
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| Nhiều tác giả: | , , , , |
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| Định dạng: | artículo original |
| Trạng thái: | Versión publicada |
| Ngày xuất bản: | 2025 |
| Miêu tả: | 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. |
| Quốc gia: | Portal de Revistas UCR |
| Tổ chức giáo dục: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Ngôn ngữ: | Inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/57678 |
| Truy cập trực tuyến: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/57678 |
| Từ khóa: | Derivada fraccionaria conformable general Ecuación de calor Series de Fourier Estabilidad robusta General conformable fractional derivative Heat equation Fourier series Robust stability |