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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2016 (2016), Article ID 15

On some explicit bounds on certain retarded nonlinear integral inequalities with applications

A. A. El-Deeb, Reda Gamal Ahmed

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Abstract

In this article, we investigate some new nonlinear retarded integral inequalities of Gronwall type. By some techniques, we generalize the results established by Pachpatte in [5] to nonlinear retarded integral inequalities. We also introduce some applications to illustrate the benefit of some of our results.

Published
16 May 2016
Volume
2016 (2016)
License
CC BY 3.0

Copyright © 2016 A. A. El-Deeb, Reda Gamal Ahmed. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. A. El-Deeb, R. G. Ahmed, On some explicit bounds on certain retarded nonlinear integral inequalities with applications, Adv. Inequal. Appl. 2016 (2016), 15.

BibTeX
@article{El-Deeb2016,
  author  = {El-Deeb, A. A. and Ahmed, Reda Gamal},
  title   = {On some explicit bounds on certain retarded nonlinear integral inequalities with applications},
  journal = {Adv. Inequal. Appl.},
  volume  = {2016},
  year    = {2016},
  pages   = {15},
  doi     = {}
}