Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann-Stieltjes integral conditions

被引：8

作者：

Liu, Bingmei ^{[1
]}

Li, Junling ^{[1
]}

Liu, Lishan ^{[2
]}

Wang, Yongqing ^{[2
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou, Jiangsu, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Fractional differential equations; Riemann-Stieltjes integral; Topological degree; Uniqueness; BOUNDARY-VALUE PROBLEM; MULTIPLE POSITIVE SOLUTIONS; SIGN-CHANGING SOLUTIONS; COUPLED SYSTEM;

D O I：

10.1186/s13662-018-1762-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies a system of fractional differential equations with Riemann-Stieltjes integral conditions. The existence and uniqueness of nontrivial solutions to the above system are established under some weaker conditions by the Leray-Schauder topological degree. Two examples are set up to testify the validity of the main results.

引用

页数：15

共 37 条

[1] Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions [J].

Agarwal, Ravi P. ;

Ahmad, Bashir ;

Garout, Doa'a ;

Alsaedi, Ahmed .

CHAOS SOLITONS & FRACTALS, 2017, 102 :149-161

[2] EXISTENCE OF SOLUTIONS FOR A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED NONLOCAL BOUNDARY CONDITIONS [J].

Ahmad, Bashir ;

Luca, Rodica .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (02) :423-441

[3]

Ahmad B, 2017, B MATH SOC SCI MATH, V60, P3

[4] Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions [J].

Ahmad, Bashir ;

Nieto, Juan J. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (09) :1838-1843

[5]

[Anonymous], 2006, THEORY APPL FRACTION

[6]

[Anonymous], 1999, MATH SCI ENG

[7]

[Anonymous], 1950, AM MATH SOC TRANSL S

[8] 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

[9] 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

[10]

Bai ZB, 2016, ELECTRON J DIFFER EQ

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