A robust stability criterion on the time-conformable fractional heat equation in a axisymmetric cylinder
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R. Temoltzi-Ávila [1]
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[1] Universidad Autónoma del Estado de Hidalgo
Universidad Autónoma del Estado de Hidalgo
México
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- Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 4, 2023, págs. 687-700
- Idioma: inglés
- DOI: 10.1007/s40324-022-00317-x
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Resumen
In this paper we consider a time-conformable fractional heat equation that admits heat sources that belong to a prefixed set of functions. Assuming that the time-conformable fractional heat equation is defined on an axisymmetric cylinder, we obtain a robust stability criterion for a class of solutions that can be expressed as a Fourier series. The robust stability criterion is obtained by considering an extension of the definition of stability under constant-acting perturbations that is regularly used in systems of ordinary differential equations. It is also shown that the robust stability criterion obtained is independent of the order of the conformable fractional derivative of the time-conformable fractional heat equation. The results obtained are illustrated numerically by means of an example.
