EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT

被引：41

作者：

Darwish, Mohamed Abdalla ^{[1
,2
]}

Henderson, Johnny ^{[3
]}

O'Regan, Donal ^{[4
]}

机构：

[1] King Abdulaziz Univ, Fac Girls, Dept Math Sci, Jeddah 21413, Saudi Arabia

[2] Damanhour Univ, Fac Sci, Dept Math, Alexandria, Egypt

[3] Baylor Univ, Dept Math, Waco, TX 76798 USA

[4] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 03期

关键词：

functional integral equation; fractional integral; perturbed; linear modification of the argument; existence; asymptotic behaviour; measure of noncompactness; Schauder fixed point principle; PARTICLE-TRANSPORT THEORY; CHANDRASEKHAR;

D O I：

10.4134/BKMS.2011.48.3.539

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the solvability of a perturbed quadratic functional-integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions.

引用

页码：539 / 553

页数：15

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