EXISTENCE OF POSITIVE SOLUTIONS FOR A COUPLED SYSTEM OF (p, q)-LAPLACIAN FRACTIONAL HIGHER ORDER BOUNDARY VALUE PROBLEMS

被引：0

作者：

Prasad, K. R. ^{[1
]}

Krushna, B. M. B. ^{[2
]}

Wesen, L. T. ^{[3
]}

机构：

[1] Andhra Univ, Dept Appl Math, Visakhapatnam 530003, Andhra Pradesh, India

[2] MVCR Coll Engn, Dept Math, Vizianagaram 535005, India

[3] Jimma Univ, Dept Math, Jimma 378, Oromia, Ethiopia

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2015年 / 9卷 / 01期

关键词：

fractional order derivative; (p; q)-Laplacian; boundary value problem; Green's function; positive solution;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the existence of at least three positive solutions for a system of (p, q)-Laplacian fractional order two-point boundary value problems by applying five functionals fixed point theorem under suitable conditions on a cone in a Banach space.

引用

页码：54 / 67

页数：14

共 22 条

[1]

Agarwal R.P., 1999, POSITIVE SOLUTIONS D

[2] Multiple solutions and eigenvalues for third-order right focal boundary value problems [J].

Anderson, DR ;

Davis, JM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 267 (01) :135-157

[3] Existence of three positive pseudo-symmetric solutions for a one dimensional p-Laplacian [J].

Avery, R ;

Henderson, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (02) :395-404

[4]

Avery RI., 1999, MATH SCI RES HOTLINE, V3, P9

[5]

Bai CZ, 2010, ELECTRON J QUAL THEO, P1

[6] 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

[7] Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator [J].

Chai, Guoqing .

BOUNDARY VALUE PROBLEMS, 2012,

[8] An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator [J].

Chen, Taiyong ;

Liu, Wenbin .

APPLIED MATHEMATICS LETTERS, 2012, 25 (11) :1671-1675

[9]

Dehghani R, 2007, BULL IRAN MATH SOC, V33, P1

[10]

Diening L., 2013, OBERWOLFACH REP, V10, P433

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