Work

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

Year: 2014

Type: article

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.

Source: British Journal of Mathematics & Computer Science

DOI: 10.9734/bjmcs/2015/13866

Authors: A. Abdeldaim, A. El-Deeb

Institutions: Port Said University, Al-Azhar University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2000544178

FWCI: 1.291

Cites: 18

Cited by: 21

Related to: 10