Study on the estimates of Gronwall-Ou-Iang dynamic integral inequalities by means of diamond-\(\alpha\) derivatives

DOI10.1186/S13662-020-02692-ZzbMath1482.26035OpenAlexW3031468682MaRDI QIDQ2078435

Yanyan Li

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02692-z

zbMATH Keywords

time scalesnabla differentiationnabla integrationdynamic inequalitiesdiamond-\(\alpha\) differentiationdiamond-\(\alpha\) integration

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Real analysis on time scales or measure chains (26E70)

Related Items (4)

CERTAIN DEVELOPMENTS ON SOLUTIONS OF DYNAMIC INEQUALITIES IN THE PREMISE OF TIME SCALES ⋮ Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications ⋮ Derivation of dynamical integral inequalities based on two-dimensional time scales theory ⋮ QUALITATIVE PROPERTIES OF SOLUTIONS OF FRACTIONAL DIFFERENTIAL AND DIFFERENCE EQUATIONS ARISING IN PHYSICAL MODELS

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