Solvability of fully nonlinear functional equations involving Erdelyi-Kober fractional integrals on the unbounded interval

被引：8

作者：

Wang, JinRong ^{[1
,2
]}

Zhu, Chun ^{[1
]}

Feckan, Michal ^{[3
,4
]}

机构：

[1] Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang, Peoples R China

[2] Guizhou Univ, Dept Math, Guiyang 550003, Peoples R China

[3] Comenius Univ, Dept Math Anal & Numer Math, Fac Math Phys & Informat, Mlynskadolina, Slovakia

[4] Slovak Acad Sci, Math Inst, Stefanikova, Slovakia

来源：

OPTIMIZATION | 2014年 / 63卷 / 08期

基金：

中国国家自然科学基金;

关键词：

nonlinear functional equation; Erdelyi-Kober fractional integrals; unbounded interval; solvability; EXISTENCE; ORDER;

D O I：

10.1080/02331934.2014.883513

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we study the existence of solutions to fully nonlinear functional equations involving Erdelyi-Kober fractional integrals on the unbounded interval. By constructing a closed and convex subset of a Frechet space, sufficient conditions are presented by using a fixed point theorem via the Kuratowski measure. Finally, an example is given to illustrate the obtained result.

引用

页码：1235 / 1248

页数：14

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