Strict stability with respect to initial time difference for Caputo fractional differential equations by Lyapunov functions

DOI10.1515/GMJ-2016-0080zbMath1362.34009OpenAlexW2573663381MaRDI QIDQ516924

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

Publication date: 15 March 2017

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0080

zbMATH Keywords

Lyapunov functionsstrict practical stabilitystrict stabilityCaputo fractional differential equationsCaputo fractional Dini derivativedifferent initial data

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Fractional ordinary differential equations (34A08)

Related Items (3)

Some stability properties related to initial time difference for Caputo fractional differential equations ⋮ Nonhomogeneous initial and boundary value problem for the Caputo-type fractional wave equation ⋮ Lipschitz stability for non-instantaneous impulsive Caputo fractional differential equations with state dependent delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operator method for construction of solutions of linear fractional differential equations with constant coefficients
• Variational Lyapunov method for fractional differential equations
• Stability with initial time difference of Caputo fractional differential equations by Lyapunov functions
• How to impose physically coherent initial conditions to a fractional system?
• Stability of Caputo fractional differential equations by Lyapunov functions.
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• On the global existence of solutions to a class of fractional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Another approach to the theory of differential inequalities realtive to changes in the initial times
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Lyapunov functions and strict stability of Caputo fractional differential equations
• Practical stability with respect to initial time difference for Caputo fractional differential equations
• Functional Fractional Calculus
• Strict stability of differential equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Strict stability with respect to initial time difference for Caputo fractional differential equations by Lyapunov functions