Caputo-Hadamard fractional Halanay inequality

DOI10.1016/J.AML.2021.107723zbMath1486.26041OpenAlexW3206341840MaRDI QIDQ2060808

Bin-Bin He, Hua-Cheng Zhou

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107723

zbMATH Keywords

stabilityHalanay inequalityCaputo-Hadamard fractional derivativefractional nonlinear systems

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

A discrete retarded Gronwall–Bellman type inequality and its applications to difference equations ⋮ Stability of stochastic functional differential equations with impulses ⋮ Asymptotic stability and synchronization of fractional order Hopfield neural networks with unbounded delay ⋮ Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay

Cites Work

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• Caputo-type modification of the Hadamard fractional derivatives
• Razumikhin-type stability theorems for functional fractional-order differential systems and applications
• Fractional Halanay inequality and application in neural network theory
• Asymptotic stability of fractional difference equations with bounded time delays
• Exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses
• Lyapunov functions for fractional order systems
• Differential equations: Stability, oscillations, time lags

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