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.
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页码：331 / 343
页数：13
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