New conditions for the exponential stability of fractionally perturbed ODEs

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...

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2018-01, Vol.2018 (84), p.1-14
Main Authors: Medveď, Milan, Brestovanská, Eva
Format: Article
Language:English
Subjects:
exponential stability
fractional differential equation
riemann–liouville integral
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Summary: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.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2018.1.84