Stability with initial time difference of Caputo fractional differential equations by Lyapunov functions

DOI10.4171/ZAA/1579zbMath1365.34008MaRDI QIDQ509945

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

Publication date: 15 February 2017

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

stabilityLyapunov functionsfractional differential equationsCaputo derivative

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) Nonautonomous smooth dynamical systems (37C60) Fractional ordinary differential equations (34A08)

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Some stability properties related to initial time difference for Caputo fractional differential equations ⋮ Theory of Fractional Differential Equations Using Inequalities and Comparison Theorems: A Survey ⋮ On the orbital Hausdorff dependence of differential equations with non-instantaneous impulses ⋮ Inertial manifold for semi-linear non-instantaneous impulsive parabolic equations in an admissible space ⋮ Strict stability with respect to initial time difference for Caputo fractional differential equations by Lyapunov functions ⋮ Iterative techniques with computer realization for the initial value problem for Caputo fractional differential equations ⋮ Unnamed Item ⋮ Separation and stability of solutions to nonlinear systems involving Caputo-Fabrizio derivatives ⋮ (ω ,c)-periodic solutions for time-varying non-instantaneous impulsive differential systems

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