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.
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页码：5491 / 5500
页数：10
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