Solvability of a functional integral equation of fractional order in the class of functions having limits at infinity

被引：26
|
作者：
Banas, Jozef [1 ,2 ]
Zajac, Tomasz [3 ]
机构：
[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland
[2] Bronislaw Markiewicz State Sch Higher Vocat Educ, Dept Math & Nat Sci, PL-37500 Jaroslaw, Poland
[3] Subcarpathian Sch Higher Educ, Dept Math Stat & Informat, PL-38200 Jaslo, Poland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 11期
关键词：
Integral equation of fractional order; Banach function space; Superposition operator; Measure of noncompactness; Fixed point theorem of Darbo type; DIFFERENTIAL-EQUATIONS; EXISTENCE; ATTRACTIVITY;
D O I：
10.1016/j.na.2009.04.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A functional integral equation of fractional order is investigated in the space of real functions which are defined, continuous and bounded on the real half-axis. Using the technique of measures of noncompactness and the fixed point theorem of Darbo type we prove that the equation in question has solutions in the mentioned function space. Moreover, a suitable choice of a measure of noncompactness enables us to prove that those solutions tend to limits at infinity. An example illustrating our result is also given. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：5491 / 5500
页数：10
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