2021 Some new weakly singular nonlinear integral inequalities and their application
Yaoyao Luo, Run Xu
J. Integral Equations Applications 33(4): 477-495 (2021). DOI: 10.1216/jie.2021.33.477

Abstract

We establish some new weakly singular nonlinear integral inequalities, which generalize some known integral inequalities. The inequalities given here can be used in the analysis of the qualitative properties of fractional differential equations and integral equations. Applications are also provided to illustrate the usefulness of our results.

Citation

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Yaoyao Luo. Run Xu. "Some new weakly singular nonlinear integral inequalities and their application." J. Integral Equations Applications 33 (4) 477 - 495, 2021. https://doi.org/10.1216/jie.2021.33.477

Information

Received: 3 October 2019; Revised: 20 September 2020; Accepted: 22 September 2020; Published: 2021
First available in Project Euclid: 11 March 2022

MathSciNet: MR4393380
zbMATH: 1498.26060
Digital Object Identifier: 10.1216/jie.2021.33.477

Subjects:
Primary: 26A33 , 34E99

Keywords: Explicit bounds , integral inequalities , weakly singular

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.33 • No. 4 • 2021
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