Some new generalized Gronwall-Bellman type discrete fractional inequalities

DOI10.1016/j.amc.2015.03.012zbMath1390.26039OpenAlexW2056536537MaRDI QIDQ1636861

Qinghua Feng

Publication date: 7 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.012

zbMATH Keywords

boundednessfractional difference equationGronwall-Bellman type inequalitydiscrete fractional difference inequalityfractional sum inequality

Mathematics Subject Classification ID

Additive difference equations (39A10) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20) Real analysis on time scales or measure chains (26E70)

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Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications ⋮ Ulam-Hyers-Rassias stability and existence of solutions to nonlinear fractional difference equations with multipoint summation boundary condition ⋮ Some new discrete Gronwall-Bellman type inequalities with three independent variables and applications ⋮ Discrete Opial type inequalities for interval-valued functions ⋮ Empirical analysis of fractional differential equations model for relationship between enterprise management and financial performance ⋮ Existence and uniqueness of solutions for a discrete fractional mixed type sum-difference equation boundary value problem ⋮ Chebyshev type inequality on nabla discrete fractional calculus ⋮ On Hilfer fractional difference operator

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