New conditions for the exponential stability of fractionally perturbed ODEs

Medved', Milan and Brestovanská, Eva: New conditions for the exponential stability of fractionally perturbed ODEs. Electronic journal of qualitative theory of differential equations 84. pp. 1-14. (2018)

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Abstract

The aim of this paper is to present some results on the exponential stability of the zero solution for a class of fractionally perturbed ordinary differential equations, whose right-hand sides involve the Riemann–Liouville substantial fractional integrals of different orders and we assume that they are polynomially bounded. In their proofs we apply a method recently developed by Rigoberto Medina. We also prove an existence result for this type of equations.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 84
Page Range: pp. 1-14
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2018.1.84
Uncontrolled Keywords: Differenciálegyenlet - frakcionált
Additional Information: Bibliogr.: p. 13-14. ; összefoglalás angol nyelven
Date Deposited: 2019. Jan. 25. 09:55
Last Modified: 2019. Jan. 25. 09:55
URI: http://acta.bibl.u-szeged.hu/id/eprint/56896

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