Monotonic solutions of a quadratic integral equation of fractional order

被引：78

作者：

Banas, Jozef ^{[1
]}

Rzepka, Beata ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Dept Math, PL-35959 Rzeszow, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 02期

关键词：

quadratic integral equation; nondecreasing solutions; integral of fractional order; Hausdorff measure of noncompactness;

D O I：

10.1016/j.jmaa.2006.11.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in the paper we indicate an error made in the proof of the main result of the paper [M.A. Darwish, On quadratic integral equation of fractional orders, J. Math. Anal. Appl. 311 (2005) 112-119]. Moreover, we provide correct proof of a slightly modified version of the mentioned result. The main tool used in our proof is the technique associated with the Hausdortf measure of noncompactness. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：1371 / 1379

页数：9

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