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

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