Monotonic solutions of a perturbed quadratic fractional integral equation

被引：16

作者：

Darwish, Mohamed Abdalla ^{[1
]}

Ntouyas, Sotiris K. ^{[2
]}

机构：

[1] Univ Alexandria, Fac Sci, Dept Math, Damanhour 22511, Egypt

[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 11期

关键词：

Quadratic integral equation; Monotonic solutions; Perturbed; Measure of noncompactness; Darbo's fixed point theorem; EXISTENCE THEOREMS;

D O I：

10.1016/j.na.2009.04.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an existence theorem for monotonic solutions of a perturbed quadratic fractional integral equation in C[0, 1]. The concept of a measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof Finally, we give an example for indicating the natural realizations of our abstract result presented in the paper. (C) 2009 Published by Elsevier Ltd

引用

页码：5513 / 5521

页数：9

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