ON URYSOHN-VOLTERRA FRACTIONAL QUADRATIC INTEGRAL EQUATIONS

被引：4

作者：

Darwish, Mohamed Abdalla ^{[1
]}

Graef, John R. ^{[2
]}

Sadarangani, Kishin ^{[3
]}

机构：

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

[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[3] Univ Las Palmas Gran Canaria, Dept Math, Campus Tafira Baja, Las Palmas Gran Canaria 35017, Spain

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 01期

关键词：

Fractional integral; quadratic integral equation; monotonic solutions; Darbo theorem; monotonicity measure of noncompactness; MONOTONIC SOLUTIONS; LINEAR MODIFICATION; TRANSPORT-THEORY; EXISTENCE; ARGUMENT; SUPREMUM; ORDER;

D O I：

10.11948/2018.331

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the authors study a fractional quadratic integral equation of Urysohn-Volterra type. They show that the integral equation has at least one monotonic solution in the Banach space of all real functions defined and continuous on the interval [0,1][0,1]. The main tools in the proof are a fixed point theorem due to Darbo and a monotonicity measure of noncompactness.

引用

页码：331 / 343

页数：13

共 30 条

[11] Burton T.A., 1983, Volterra Integral and Differential Equations
[12] On monotonic solutions of an integral equation of Volterra type with supremum
Caballero, J
López, B
Sadarangani, K
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 305 (01) : 304 - 315
[13] Case KM, 1967, Linear transport theory
[14] Chandrasekher S., 1960, RAD TRANSFER
[15] Corduneanu C., 1991, Integral Equations and Applications
[16] On quadratic integral equation of fractional orders
Darwish, MA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (01) : 112 - 119
[17] EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT
Darwish, Mohamed Abdalla
Henderson, Johnny
O'Regan, Donal
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (03) : 539 - 553
[18] On a quadratic fractional Hammerstein-Volterra integral equation with linear modification of the argument
Darwish, Mohamed Abdalla
Ntouyas, Sotiris K.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (11) : 3510 - 3517
[19] On a perturbed quadratic fractional integral equation of Abel type
Darwish, Mohamed Abdalla
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 182 - 190
[20] Monotonic solutions of a perturbed quadratic fractional integral equation
Darwish, Mohamed Abdalla
Ntouyas, Sotiris K.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5513 - 5521

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