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

共 50 条

[11] On quadratic integral equation of fractional orders
Darwish, MA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (01) : 112 - 119
[12] On monotonic solutions of an integral equation related with the Chandrasekhar equation
Caballero, J
Rocha, J
Sadarangani, KB
COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2003, PT 1, PROCEEDINGS, 2003, 2667 : 799 - 808
[13] On Monotonic Integrable Solutions for Quadratic Functional Integral Equations
Cichon, Mieczysaw
Metwali, Mohamed M. A.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (02) : 909 - 926
[14] On Monotonic Integrable Solutions for Quadratic Functional Integral Equations
Mieczysław Cichoń
Mohamed M. A. Metwali
Mediterranean Journal of Mathematics, 2013, 10 : 909 - 926
[15] ON MONOTONIC SOLUTIONS OF AN INTEGRAL EQUATION OF ABEL TYPE
Darwish, Mohamed Abdalla
MATHEMATICA BOHEMICA, 2008, 133 (04): : 407 - 420
[16] ON ATTRACTIVITY AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A QUADRATIC VOLTERRA INTEGRAL EQUATION OF FRACTIONAL ORDER
Rzepka, Beata
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2008, 32 (01) : 89 - 102
[17] On monotonic solutions of an integral equation of Volterra type
Caballero, J
Rocha, J
Sadarangani, K
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 174 (01) : 119 - 133
[18] NONDECREASING SOLUTIONS OF A FRACTIONAL QUADRATIC INTEGRAL EQUATION OF URYSOHN-VOLTERRA TYPE
Darwish, Mohamed Abdalla
DYNAMIC SYSTEMS AND APPLICATIONS, 2011, 20 (04): : 423 - 437
[19] On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order
Banas, Jozef
O'Regan, Donal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (01) : 573 - 582
[20] Monotonic positive solution of a nonlinear quadratic functional integral equation
El-Sayed, A. M. A.
Hashem, H. H. G.
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (09) : 2576 - 2580

← 1 2 3 4 5 →