Extension of Lyapunov direct method about the fractional nonautonomous systems with order lying in \((1,2)\)
DOI10.1007/s11071-015-2573-4zbMath1354.34018OpenAlexW2290912677MaRDI QIDQ333029
Publication date: 9 November 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2573-4
Caputo derivativeBellman-Gronwall's inequalityBihari-type inequalityfractional nonautonomous systemsglobally uniformly asymptotically stable
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Topological dynamics of nonautonomous systems (37B55) Fractional ordinary differential equations (34A08)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Time-fractional heat equations and negative absolute temperatures
- Stability analysis of Caputo fractional-order nonlinear systems revisited
- Stability of fractional order systems
- An extension of estimation of domain of attraction for fractional order linear system subject to saturation control
- About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory
- Stability analysis of fractional differential system with Riemann-Liouville derivative
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- Asymptotical stability of nonlinear fractional differential system with Caputo derivative
- Stability analysis of linear fractional differential system with multiple time delays
- A generalized Gronwall inequality and its application to a fractional differential equation
- Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems
- A note on the stability of fractional order systems
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional order description of DNA
- Lyapunov functions for fractional order systems
- New results on stability and stabilization of a class of nonlinear fractional-order systems
- Some pioneers of the applications of fractional calculus
- Fractional diffusion: probability distributions and random walk models
