EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Qiu, Tingting ^{[1
]}

Bai, Zhanbing ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Boundary value problem; positive solution; singular fractional differential equation; fixed-point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish the existence of a positive solution to a singular boundary-value problem of nonlinear fractional differential equation. Our analysis rely on nonlinear alternative of Leray-Schauder type and Krasnoselskii's fixed point theorem in a cone.

引用

页数：9

共 11 条

[1] Positive solutions for boundary value problem of nonlinear fractional differential equation [J].

Bai, ZB ;

Lü, HS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (02) :495-505

[2]

Campos L., 1990, Int. J. Math. Math. Sci, V13, P481, DOI DOI 10.1155/S0161171290000709

[3] Existence and uniqueness for a nonlinear fractional differential equation [J].

Delbosco, D ;

Rodino, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (02) :609-625

[4]

GRANAS A, 1991, J MATH PURE APPL, V70, P153

[5]

Kilbas A.A., 2001, Appl. Anal., V78, P153, DOI DOI 10.1080/00036810108840931

[6]

Kilbas AA, 1993, FRACTIONAL INTEGRAL

[7]

KRASNOSELSKII M.A, 1964, Positive Solution of Operator Equations

[8] A CLASS OF ANALYTIC-FUNCTIONS DEFINED BY FRACTIONAL DERIVATION [J].

LING, Y ;

DING, SS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 186 (02) :504-513

[9]

Miller K.S.B. Ross., 1993, INTRO FRACTIONAL CAL, V1st, P384

[10]

Samko S., 1993, FRACTIONAL INTEGRAL

← 1 2 →