The solution of a new Caputo-like fractional \(h\)-difference equation

DOI10.1216/RMJ-2018-48-5-1607zbMath1402.39006OpenAlexW2897746913MaRDI QIDQ1799916

Xiang Liu, Mei Wang, Feifei Du, Baoguo Jia

Publication date: 19 October 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1539936038

zbMATH Keywords

Mittag-Leffler functionpower ruleCaputo \(h\)-fractional difference

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Related Items (4)

Some new results for nonlinear fractional \(h\)-difference systems with ``maxima ⋮ Asymptotic stability of \((q, h)\)-fractional difference equations ⋮ A generalized h-fractional Gronwall's inequality and its applications for nonlinear h-fractional difference systems with ‘maxima’ ⋮ Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems

Cites Work

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• Foundations of nabla fractional calculus on time scales and inequalities
• Stability analysis of Caputo-like discrete fractional systems
• Asymptotic stability of distributed order nonlinear dynamical systems
• Stability of nonlinear Caputo fractional differential equations
• Stability analysis for nonlinear fractional-order systems based on comparison principle
• Fractional h-difference equations arising from the calculus of variations
• Discrete Fractional Calculus
• Discrete fractional calculus with the nabla operator
• Initial value problems in discrete fractional calculus
• Overview of Fractional h-difference Operators
• Stability of nonlinear h-difference systems with n fractional orders
• A discrete fractional Gronwall inequality

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