ASYMPTOTIC BEHAVIOR OF NABLA HALF ORDER H-DIFFERENCE EQUATIONS

DOI10.11948/2018.1707zbMath1457.39005OpenAlexW2903337844MaRDI QIDQ5148064

Baoguo Jia, Feifei Du, Lynn H. Erbe, Allan C. Peterson

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.1707

zbMATH Keywords

Laplace transformMittag-Leffler functionoscillationRiemann-Liouville fractional \(h\)-difference

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Oscillation theory for difference equations (39A21)

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Cites Work

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• Foundations of nabla fractional calculus on time scales and inequalities
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• On explicit stability conditions for a linear fractional difference system
• Stability regions for linear fractional differential systems and their discretizations
• Comparison theorems and asymptotic behavior of solutions of discrete fractional equations
• 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
• A discrete fractional Gronwall inequality
• Two asymptotic results of solutions for nabla fractional (q; h)-difference equations

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