Stability analysis for a class of nabla (q; h)-fractional difference equations

DOI10.3906/mat-1811-96zbMath1410.39030OpenAlexW2929629663WikidataQ114022808 ScholiaQ114022808MaRDI QIDQ5743007

Xiang Liu, Baoguo Jia, Lynn H. Erbe, Allan C. Peterson

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1811-96

zbMATH Keywords

stabilityLyapunov functionsLyapunov direct methodfractional difference equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference operators (39A70) Stability theory for difference equations (39A30)

Related Items (5)

The proof of Lyapunov asymptotic stability theorems for Caputo fractional order systems ⋮ On stability and feedback control of discrete fractional order singular systems with multiple time-varying delays ⋮ Lyapunov theorem for stability analysis of nonlinear nabla fractional order systems ⋮ Limited frequency band diffusive representation for nabla fractional order transfer functions ⋮ Lyapunov stability analysis for incommensurate nabla fractional order systems

Cites Work

• Unnamed Item
• On the stability of some discrete fractional nonautonomous systems
• Generalized Mittag-Leffler stability of multi-variables fractional order nonlinear systems
• Discrete Mittag-Leffler functions in linear fractional difference equations
• The \((q,h)\)-Laplace transform on discrete time scales
• Advances in modelling and control of non-integer-order systems. 6th conference on non-integer order calculus and its applications, Opole, Poland, September 2014
• Asymptotical stability of nonlinear fractional differential system with Caputo derivative
• Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Caputo type fractional difference operator and its application on discrete time scales
• Lyapunov functions for Riemann-Liouville-like fractional difference equations
• Lyapunov functions for a class of nonlinear systems using Caputo derivative
• Stability analysis of Caputo-like discrete fractional systems
• Lyapunov functions for fractional order systems
• Stability criterion for a class of nonlinear fractional differential systems
• Monotonicity and convexity for nabla fractional (q, h)-differences
• Liapunov functional and stability of linear nabla (q, h)-fractional difference equations
• On (q, h)-Analogue of Fractional Calculus
• Stability properties for generalized fractional differential systems
• Two asymptotic results of solutions for nabla fractional (q; h)-difference equations

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