4.5 Article

A DISCRETE FRACTIONAL GRONWALL INEQUALITY

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 140, Issue 5, Pages 1605-1612

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-2012-11533-3

Keywords

Discrete fractional calculus; Gronwall inequality; comparison theorem

Funding

  1. Portuguese Foundation for Science and Technology (FCT) through the R&D unit Center of Research and Development in Mathematics and Applications (CIDMA)

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In this work we derive a Gronwall type inequality within the discrete fractional setting. Our results constitute generalizations on the inequalities of discrete calculus.

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