Gronwall's inequality for a nabla fractional difference system with a retarded argument and an application

DOI10.1080/10236198.2019.1581180zbMath1429.39004OpenAlexW2916853101WikidataQ114099709 ScholiaQ114099709MaRDI QIDQ5231275

Churong Chen, Raziye Mert, Baoguo Jia, Lynn H. Erbe, 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/10.1080/10236198.2019.1581180

zbMATH Keywords

fractional derivativeGronwall's inequalitynabla fractional difference equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Related Items (8)

Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications ⋮ Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system ⋮ On discrete tempered fractional calculus and its application ⋮ Some new results for nonlinear fractional \(h\)-difference systems with ``maxima ⋮ Existence and uniqueness theorem of the solution to a class of nonlinear nabla fractional difference system with a time delay ⋮ Discrete fractional boundary value problems and inequalities ⋮ A generalized h-fractional Gronwall's inequality and its applications for nonlinear h-fractional difference systems with ‘maxima’ ⋮ FINITE-TIME STABILITY IN MEAN FOR NABLA UNCERTAIN FRACTIONAL ORDER LINEAR DIFFERENCE SYSTEMS

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