Asymptotic analysis of Riemann–Liouville fractional systems

Asymptotic analysis of Riemann–Liouville fractional systems

We propose a novel approach to study the asymptotic behavior of solutions to Riemann–Liouville (RL) fractional equations. It is shown that the standard Lyapunov approach is not suited and an extension employing two (pseudo) state spaces is needed. Theorems of Lyapunov and LaSalle type for general mu...

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Bibliographic Details
Main Authors: Javier Gallegos, Manuel Duarte-Mermoud
Format: Article
Language:English
Published: University of Szeged 2018-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
fractional differential equations
riemann–liouville derivative
stability
attractiveness
multi-order
nonlinear systems
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6577

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6577

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