On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term

被引：0

作者：

Mourad Ghiat

Hamza Guebbai

Muhammet Kurulay

Sami Segni

机构：

[1] Université 8 Mai 1945 Guelma Laboratoire de Mathématiques Appliquées et de Modélisation,

[2] Yildiz Teknik Universitesi,undefined

来源：

Computational and Applied Mathematics | 2020年 / 39卷

关键词：

Volterra equation; Integro-differential; Fixed point; Nonlinear equation; Product integration method; 45D05; 45G05; 45J99; 45E99; 65R20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, our study deals with the existence and the uniqueness of the solution of a second degree integro-differential nonlinear Volterra equation with a weakly singular kernel, i.e., the solution depends on its speed (first derivative) and its acceleration (second derivative); whereas using Nyström method and product integration method with piecewise projection, we approximate this solution.

引用

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