Resumen

TEMOLTZI-AVILA, Raúl et al. A robust stability criterion in the heat equation with a conformable fractional derivative defined on a radially symmetric sphere. Rev. Mat [online]. 2025, vol.32, n.1, pp.33-51. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v32i1.57678.

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 time-conformable 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.

Palabras clave : General conformable fractional derivative; Heat equation; Fourier series; Robust stability..

        · resumen en Español     · texto en Inglés     · Inglés ( pdf )