Refinements of Some retarded integral inequalities with power and their applications

Authors

  • Selma Mili Department of Mathematics, University of Constantine 1 Brothers Mentouri.\\ BP, 325, Ain El Bey Street, 25017, Algeria.
  • Ammar Boudeliou Department of Mathematics, University of Constantine 1 Brothers Mentouri.\\ BP, 325, Ain El Bey Street, 25017, Algeria.

Abstract

In this paper, we investigate some nonlinear retarded integral inequalities with power. Our results generalize some known integral inequalities and other results obtained very recently. We use some techniques of calculations to obtain a very accurate estimation of
the unknown function of these inequalities. We apply our results to study the boundedness of the solution of retarded integral equation of Volterra type, which arises in various problems.

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Published

2024-08-29

Issue

Vol. 31 No. 3 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 Selma Mili, Ammar Boudeliou

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Refinements of Some retarded integral inequalities with power and their applications. (2024). Nonlinear Studies, 31(3), 913-925. https://nonlinearstudies.com/index.php/nonlinear/article/view/3200