A generalized h-fractional Gronwall's inequality and its applications for nonlinear h-fractional difference systems with ‘maxima’

DOI10.1080/10236198.2018.1551382zbMath1421.39002OpenAlexW2908901003MaRDI QIDQ5231273

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

Publication date: 26 August 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2018.1551382

zbMATH Keywords

uniqueness of solutionsbounds on solutionsfractional Gronwall's inequalityfractional difference systems

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference operators (39A70) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (4)

New generalizations for Gronwall type inequalities involving a \(\psi\)-fractional operator and their applications ⋮ Grünwald-Letnikov fractional operators: from past to present ⋮ Some new results for nonlinear fractional \(h\)-difference systems with ``maxima ⋮ Extensions of Gronwall-Bellman type integral inequalities with two independent variables

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