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Research Article Open access CC BY 4.0

On Some New Nonlinear Retarded Integral Inequalities with Iterated Integrals and their Applications in Integro-Differential Equations

A. Abdeldaim, A. A. El-Deeb

Journal of Advances in Mathematics and Computer Science · pp. 479–491 · Published 14 Nov 2014

10.9734/BJMCS/2015/13866

Abstract

In this paper, some new generalized retarded nonlinear integral inequalities of Gronwall-Bellman type are discussed. The upper bounds estimation of the embedded unknown functions are discussed by integral and differential techniques. Our results generalize some inequalities of H. El-Owaidy et al. [1] with both retard and nonlinear integral. Some applications are also presented in order to illustrate the usefulness of some of our results.

Retarded integral inequalities estimation iterated integrals analysis technique integrodifferential equations

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