Existence of positive solution to boundary value problem of fractional differential equations with p-Laplacian operator

被引：2

作者：

Tian, Yuansheng ^{[1
]}

Li, Xiaoping ^{[1
]}

机构：

[1] Xiangnan Univ, Dept Math, Chenzhou 423000, Hunan, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2015年 / 47卷 / 1-2期

关键词：

Fractional differential equation; Boundary value problem; p-Laplacian operator; Positive solution;

D O I：

10.1007/s12190-014-0772-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solution to boundary value problem of fractional differential equations with p-Laplacian operator. By using some fixed-point theorems on a convex cone, the new existence results of positive solution are obtained. In addition, an example is included to demonstrate the main result.

引用

页码：237 / 248

页数：12

共 23 条

[1] The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations [J].

Bai, CZ ;

Fang, JX .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (03) :611-621

[2] 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

[3] Existence results for fractional order functional differential equations with infinite delay [J].

Benchohra, A. ;

Henderson, J. ;

Ntouyas, S. K. ;

Ouahab, A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) :1340-1350

[4] Analysis of a system of fractional differential equations [J].

Daftardar-Gejji, V ;

Babakhani, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (02) :511-522

[5] 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

[6] Nonlinear functional differential equations of arbitrary orders [J].

El-Sayed, AMA .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 33 (02) :181-186

[7] Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method [J].

Jafari, Hossein ;

Daftardar-Gejji, Varsha .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 180 (02) :700-706

[8]

Joshi M.C., 1985, SOME TOPICS NONLINEA

[9]

Kilbas A., 2002, APPL ANAL, V81, P435, DOI DOI 10.1080/0003681021000022032

[10]

Kilbas A., 2001, APPL ANAL, V78, P153, DOI DOI 10.1080/00036810108840931

← 1 2 3 →