Publication detail

Note on fractional difference Gronwall inequalities

FEČKAN, M. POSPÍŠIL, M.

Original Title

Type

journal article in Web of Science

Language

English

Original Abstract

This note is a reaction on a bunch of fractional inequalities that appeared in the last few years, and that are all based on what claims to be a fractional discrete Gronwall inequality. However, we show by a counterexample that this inequality is not correct. Stimulated by this, the main aim of this note is to propose new inequalities and illustrate the results on examples. Asymptotic properties of a solution of a linear equation are studied as well. Moreover, a brief discussion of other related results is given.

Keywords

fractional difference; backward difference; difference inequality

Authors

FEČKAN, M.; POSPÍŠIL, M.

RIV year

2014

Released

15. 9. 2014

ISBN

1417-3875

Periodical

Electronic Journal of Qualitative Theory of Differential Equations

Year of study

2014

Number

State

Hungary

Pages from

Pages to

Pages count

BibTex

@article{BUT111305,
  author="Michal {Fečkan} and Michal {Pospíšil}",
  title="Note on fractional difference Gronwall inequalities",
  journal="Electronic Journal of Qualitative Theory of Differential Equations",
  year="2014",
  volume="2014",
  number="44",
  pages="1--18",
  issn="1417-3875"
}