Positive solutions for higher-order singular fractional differential system with coupled integral boundary conditions

被引：0

作者：

Ying Wang

Junwei Zhang

机构：

[1] Linyi University,School of Science

[2] Shanghai University of Finance and Economics,Institute of Finance and Economics

来源：

Advances in Difference Equations | / 2016卷

关键词：

positive solutions; upper and lower solutions; fractional differential system; coupled integral boundary conditions; singular; 26A33; 34B16; 34B18;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the positive solutions of a higher-order singular fractional differential system with coupled integral boundary conditions. The conditions for the existence of at least one positive solution are established together with the estimates of the lower and upper bounds of the solution at any instant of time. Our results are based on the method of upper and lower solutions and the Schauder fixed point theorem. In the end, an example is worked out to illustrate our main results.

引用

共 50 条

[1] Positive solutions for higher-order singular fractional differential system with coupled integral boundary conditions
Wang, Ying
Zhang, Junwei
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[2] Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters
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[3] Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters
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[5] Existence and uniqueness of solutions for a singular system of higher-order nonlinear fractional differential equations with integral boundary conditions
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[6] Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions
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[7] POSITIVE SOLUTIONS FOR A COUPLED SYSTEM OF MIXED HIGHER-ORDER NONLINEAR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS
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[8] Positive solutions to singular fractional differential system with coupled boundary conditions
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[9] Positive solutions of a system for nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions
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Boundary Value Problems, 2016
[10] Positive solutions of a system for nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions
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