Existence and attractivity of solutions for fractional difference equations

DOI10.1186/S13662-018-1637-4zbMath1446.39009OpenAlexW2805627309WikidataQ129827879 ScholiaQ129827879MaRDI QIDQ1712258

Yong Zhou, Lu Zhang

Publication date: 21 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1637-4

zbMATH Keywords

existenceattractivityfractional difference equations

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Stability theory for difference equations (39A30)

Related Items (5)

Uncertain fractional forward difference equations for Riemann-Liouville type ⋮ OPTIMIZING RELIABILITY OF LINEAR FRACTIONAL DIFFERENCE SYSTEMS UNDER UNCERTAINTY AND RANDOMNESS ⋮ Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system ⋮ On the existence of three positive solutions for a Caputo fractional difference equation ⋮ Stability analysis by fixed point theorems for a class of non-linear Caputo nabla fractional difference equation

Cites Work

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• Increasing the efficiency of shooting methods for terminal value problems of fractional order
• Asymptotic stability results for nonlinear fractional difference equations
• The asymptotic behavior of solutions for a class of nonlinear fractional difference equations with damping term
• Basic Theory of Fractional Differential Equations
• Discrete Fractional Calculus
• lp-maximal regularity for fractional difference equations on UMD spaces
• Initial value problems in discrete fractional calculus
• Fractional variational calculus and the transversality conditions

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