A new approach to the theory of functional integral equations of fractional order

被引：50

作者：

Banas, Jozef ^{[1
,2
]}

Zajac, Tomasz ^{[3
]}

机构：

[1] Rzeszow Univ Technol, Dept Math, PL-35950 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：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 375卷 / 02期

关键词：

Integral equation of fractional order; Function of bounded variation; Stieltjes integral; Hausdorff measure of noncompactness; Fixed point theorem of Darbo type; Quadratic integral equation; OPERATORS;

D O I：

10.1016/j.jmaa.2010.09.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the paper is to present a new approach to the theory of functional integral equations of fractional order. That approach depends on converting of the mentioned equations to the form of functional integral equations of Volterra-Stieltjes type. It turns out that the study of functional integral equations of Volterra-Stieltjes type is more convenient and effective than the study of functional integral equations of fractional order. An example illustrating our approach is also discussed. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：375 / 387

页数：13

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