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Publication detail
FEČKAN, M. POSPÍŠIL, M.
Original Title
Note on fractional difference Gronwall inequalities
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
Number
44
State
Hungary
Pages from
1
Pages to
18
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" }