\(q\)-Mittag-Leffler stability and Lyapunov direct method for differential systems with \(q\)-fractional order

DOI10.1186/s13662-018-1502-5zbMath1445.26007OpenAlexW2798252798WikidataQ130187524 ScholiaQ130187524MaRDI QIDQ1711643

Song Liu, Wei Jiang, Xiao-Yan Li

Publication date: 18 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1502-5

zbMATH Keywords

Lyapunov method\(q\)-fractional calculus\(q\)-Mittag-Leffler functions\(q\)-Mittag-Leffler stability

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20) Fractional ordinary differential equations (34A08)

Related Items (2)

Unnamed Item ⋮ A remark on the \(q\)-fractional order differential equations

Cites Work

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• \(q\)-fractional calculus and equations
• Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function
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• Mittag-Leffler stability of fractional order nonlinear dynamic systems
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• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• A fractional Leibniz q-formula
• Some properties of the Mittag-Leffler functions and their relation with the wright functions
• Mittag-Leffler stability analysis of nonlinear fractional-order systems with impulses
• Lyapunov functions for fractional order systems
• Fractional q-Calculus on a time scale
• Basic Theory of Fractional Differential Equations
• Some Fractional q-Integrals and q-Derivatives

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