Lyapunov functions and strict stability of Caputo fractional differential equations

DOI10.1186/s13662-015-0674-5zbMath1422.34012OpenAlexW2096932917WikidataQ59410952 ScholiaQ59410952MaRDI QIDQ1991039

Donal O'Regan, Ravi P. Agarwal, Snezhana G. Hristova

Publication date: 29 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0674-5

zbMATH Keywords

Lyapunov functionsfractional differential equationsstrict stabilityCaputo derivatives

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20) Fractional ordinary differential equations (34A08)

Related Items (17)

A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations ⋮ Lyapunov functions and stability of Caputo fractional differential equations with delays ⋮ On the construction and stability analysis of the solution of linear fractional differential equation ⋮ P-moment exponential stability of Caputo fractional differential equations with noninstantaneous random impulses ⋮ Stability analysis of interconnected nonlinear fractional‐order systems via a single‐state variable control ⋮ Mittag-Leffler stability for impulsive Caputo fractional differential equations ⋮ Stability analysis of distributed-order nonlinear dynamic systems ⋮ Strict stability with respect to initial time difference for Caputo fractional differential equations by Lyapunov functions ⋮ Practical stability with respect to initial time difference for Caputo fractional differential equations ⋮ Stability analysis for impulsive fractional hybrid systems via variational Lyapunov method ⋮ Practical stability of differential equations with non-instantaneous impulses ⋮ Lyapunov functions to Caputo reaction-diffusion fractional neural networks with time-varying delays ⋮ Lyapunov functions to Caputo fractional neural networks with time-varying delays ⋮ Stability analysis of nonlinear Hadamard fractional differential system ⋮ Caputo fractional differential equations with non-instantaneous impulses and strict stability by Lyapunov functions ⋮ Noninstantaneous impulses in Caputo fractional differential equations and practical stability via Lyapunov functions ⋮ Physical significance variable control for a class of fractional-order systems

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