Stability and asymptotic properties of a linear fractional difference equation

DOI10.1186/1687-1847-2012-122zbMath1346.39019OpenAlexW2012467986WikidataQ59289033 ScholiaQ59289033MaRDI QIDQ320365

Luděk Nechvátal, Tomáš Kisela, Jan Čermák

Publication date: 6 October 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-122

zbMATH Keywords

stabilityasymptotic behaviourVolterra equationfractional difference equationRiemann-Liouville difference operator

Mathematics Subject Classification ID

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

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Cites Work

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• Linear systems of fractional nabla difference equations
• Discrete Mittag-Leffler functions in linear fractional difference equations
• Stability analysis of fractional differential system with Riemann-Liouville derivative
• Nabla discrete fractional calculus and nabla inequalities
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A survey: stability and boundedness of Volterra difference equations
• The behavior of solutions of linear Volterra difference equations with infinite delay
• On exact convergence rates for solutions of linear systems of Volterra difference equations†
• Discrete fractional calculus with the nabla operator
• On (q, h)-Analogue of Fractional Calculus
• Initial value problems in discrete fractional calculus
• Existence of asymptotically periodic solutions of system of Volterra difference equations
• On a New Definition of the Fractional Difference
• Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type
• On the asymptotic stability of linear Volterra difference equations of convolution type

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