On the periodic boundary value problem for Duffing type fractional differential equation with p-Laplacian operator

被引：6

作者：

Jin, Hua ^{[1
]}

Liu, Wenbin ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

基金：

中国国家自然科学基金;

关键词：

continuation theory; fractional differential equation; p-Laplacian operator; periodic boundary conditions; POSITIVE SOLUTIONS; HIGHER-ORDER; EXISTENCE;

D O I：

10.1186/s13661-015-0408-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the continuation theorem of coincidence degree theory, we study the existence of solutions of Duffing type fractional differential equations with a p-Laplacian operator. Under certain nonlinear growth conditions of the nonlinearity, we obtain a new result on the existence of solutions.

引用

页数：11

共 25 条

[1] Positive solutions for Dirichlet problems, of singular nonlinear fractional differential equations [J].

Agarwal, Ravi P. ;

O'Regan, Donal ;

Stanek, Svatoslav .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 371 (01) :57-68

[2]

[Anonymous], 2001, Applicable Anal., DOI DOI 10.1080/00036810108840931

[3]

[Anonymous], J SYSTEMS SCI MATH S

[4] Existence of positive solutions of nonlinear fractional differential equations [J].

Babakhani, A ;

Daftardar-Gejji, V .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 278 (02) :434-442

[5]

Bai ZB, 2010, ELECTRON J QUAL THEO, P1

[6] Antiperiodic Solutions for Lienard-Type Differential Equation with p-Laplacian Operator [J].

Chen, Taiyong ;

Liu, Wenbin ;

Yang, Cheng .

BOUNDARY VALUE PROBLEMS, 2010,

[7] 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

[8]

Diethelm K, 1999, SCI COMPUTING CHEM E, P217

[9]

Gaines R.E., 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537

[10]

GLOCKLE WG, 1995, BIOPHYS J, V68, P46, DOI 10.1016/S0006-3495(95)80157-8

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