Practical stability with respect to initial time difference for Caputo fractional differential equations

DOI10.1016/J.CNSNS.2016.05.005zbMath1473.34008OpenAlexW2351055178MaRDI QIDQ2004793

Yanyan Li

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.05.005

zbMATH Keywords

Lyapunov functionspractical stabilityCaputo fractional differential equationsCaputo fractional Dini derivativedifferent initial data

Mathematics Subject Classification ID

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

Related Items (15)

Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower-order fractional derivatives ⋮ Applications of Lyapunov functions to Caputo fractional differential equations ⋮ Some stability properties related to initial time difference for Caputo fractional differential equations ⋮ Lyapunov functions and stability of Caputo fractional differential equations with delays ⋮ A NONLOCAL STRUCTURAL DERIVATIVE MODEL BASED ON THE CAPUTO FRACTIONAL DERIVATIVE FOR SUPERFAST DIFFUSION IN HETEROGENEOUS MEDIA ⋮ Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions ⋮ Strict stability with respect to initial time difference for Caputo fractional differential equations by Lyapunov functions ⋮ Stability analysis for impulsive fractional hybrid systems via variational Lyapunov method ⋮ Lyapunov functions to Caputo reaction-diffusion fractional neural networks with time-varying delays ⋮ Lyapunov functions to Caputo fractional neural networks with time-varying delays ⋮ Dynamics analysis of fractional-order Hopfield neural networks ⋮ Caputo fractional differential equations with non-instantaneous impulses and strict stability by Lyapunov functions ⋮ STABILITY ANALYSIS OF NONLINEAR UNCERTAIN FRACTIONAL DIFFERENTIAL EQUATIONS WITH CAPUTO DERIVATIVE ⋮ Practical stability for fractional impulsive control systems with noninstantaneous impulses on networks ⋮ Noninstantaneous impulses in Caputo fractional differential equations and practical stability via Lyapunov functions

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