Smooth solutions to mixed-order fractional differential systems with applications to stability analysis

DOI10.1216/JIE-2019-31-1-59zbMath1420.34012OpenAlexW2955024543MaRDI QIDQ2002519

Norelys Aguila-Camacho, Javier A. Gallegos, Manuel A. Duarte-Mermoud

Publication date: 12 July 2019

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1561601026

zbMATH Keywords

stabilityboundednessbacksteppingsmoothnessfractional differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Fractional ordinary differential equations (34A08)

Related Items (12)

Smallest asymptotic bound of solutions to positive mixed fractional-order inhomogeneous linear systems with time-varying delays ⋮ Stability and applications of multi-order fractional systems ⋮ Analysis of fractional order error models in adaptive systems: mixed order cases ⋮ Improved performance of identification and adaptive control schemes using fractional operators ⋮ Pseudo‐Lyapunov methods for Grünwald‐Letnikov and initialized fractional systems ⋮ Partial practical stability for fractional‐order nonlinear systems ⋮ Vector Lyapunov-like functions for multi-order fractional systems with multiple time-varying delays ⋮ Fractional-Order Model Reference Adaptive Controllers for First-Order Integer Plants ⋮ Existence results for a nonlinear coupled system involving both Caputo and Riemann-Liouville generalized fractional derivatives and coupled integral boundary conditions ⋮ Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions ⋮ Finite-time estimator with enhanced robustness and transient performance applied to adaptive problems ⋮ On Riemann-Stieltjes integral boundary value problems of Caputo-Riemann-Liouville type fractional integro-differential equations

Cites Work

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