A discrete fractional Gronwall inequality
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- by Rui A. C. Ferreira
- Proc. Amer. Math. Soc. 140 (2012), 1605-1612
- DOI: https://doi.org/10.1090/S0002-9939-2012-11533-3
- Published electronically: January 9, 2012
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Abstract:
In this work we derive a Gronwall type inequality within the discrete fractional setting. Our results constitute generalizations on the inequalities of discrete calculus.References
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Bibliographic Information
- Rui A. C. Ferreira
- Affiliation: Department of Mathematics, Lusophone University of Humanities and Technologies, 1749-024 Lisbon, Portugal
- MR Author ID: 839886
- Email: ruiacferreira@ulusofona.pt
- Received by editor(s): December 27, 2010
- Published electronically: January 9, 2012
- Additional Notes: The author was supported by the Portuguese Foundation for Science and Technology (FCT) through the R&D unit Center of Research and Development in Mathematics and Applications (CIDMA)
- Communicated by: Varghese Mathai
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1605-1612
- MSC (2010): Primary 26D15, 26A33; Secondary 39A12
- DOI: https://doi.org/10.1090/S0002-9939-2012-11533-3
- MathSciNet review: 2869144