The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations

被引:143
作者
Bai, CZ [1 ]
Fang, JX
机构
[1] Huaiyin Normal Coll, Dept Math, Huaian 223001, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China
关键词
singular nonlinear fractional differential equation; positive solution; fixed point theorem in cones;
D O I
10.1016/S0096-3003(03)00294-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we establish the existence of a positive solution to a singular coupled system of nonlinear fractional differential equations. Our analysis rely on a nonlinear alternative of Leray-Schauder type and Krasnoselskii's fixed point theorem in a cone. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:611 / 621
页数:11
相关论文
共 9 条
[1]  
Campos L., 1990, Int. J. Math. Math. Sci, V13, P481, DOI DOI 10.1155/S0161171290000709
[2]   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
[3]  
GRANAS A, 1991, J MATH PURE APPL, V70, P153
[4]  
Kilbas A.A., 2001, Appl. Anal., V78, P153, DOI DOI 10.1080/00036810108840931
[5]  
KRASNOSELSKII MA, 1964, POSTIVIE SOLUTIONS O
[6]   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
[7]  
Miller Kenneth S, 1993, An introduction to the fractional integrals and derivativestheory and applications. john willey & sons
[8]  
Samko SG., 1993, Fractional Integral and Derivatives: Theory and Applications
[9]   The existence of a positive solution for a nonlinear fractional differential equation [J].
Zhang, SQ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 252 (02) :804-812