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2014 A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its Application
Yuanhua Lin, Shanhe Wu, Wu-Sheng Wang
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/218507

Abstract

We establish a class of new nonlinear retarded weakly singular integral inequality. Under several practical assumptions, the inequality is solved by adopting novel analysis techniques, and explicit bounds for the unknown functions are given clearly. An application of our result to the fractional differential equations with delay is shown at the end of the paper.

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Yuanhua Lin. Shanhe Wu. Wu-Sheng Wang. "A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its Application." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/218507

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131416
MathSciNet: MR3256304
Digital Object Identifier: 10.1155/2014/218507

Rights: Copyright © 2014 Hindawi

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