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A discrete fractional Gronwall inequality
Author:
Rui A. C. Ferreira
Journal:
Proc. Amer. Math. Soc. 140 (2012), 1605-1612
MSC (2010):
Primary 26D15, 26A33; Secondary 39A12
Posted:
January 9, 2012
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Additional Information
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.
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Additional Information
Rui A. C. Ferreira
Affiliation:
Department of Mathematics, Lusophone University of Humanities and Technologies, 1749-024 Lisbon, Portugal
Email:
ruiacferreira@ulusofona.pt
DOI:
http://dx.doi.org/10.1090/S0002-9939-2012-11533-3
PII:
S 0002-9939(2012)11533-3
Keywords:
Discrete fractional calculus,
Gronwall inequality,
comparison theorem.
Received by editor(s):
December 27, 2010
Posted:
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
Article copyright:
© Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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