scholarly journals Existence of symmetric positive solutions for a singular system with coupled integral boundary conditions

2018 ◽  
pp. 1-19
Author(s):  
Jiqiang Jiang ◽  
Lishan Liu ◽  
Yonghong Wu
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Singular System ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Coupled Integral Boundary Conditions ◽  
Symmetric Positive Solutions

scholarly journals Positive Solutions for(n-1,1)-Type Singular Fractional Differential System with Coupled Integral Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Ying Wang ◽  
Lishan Liu ◽  
Xinguang Zhang ◽  
Yonghong Wu
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Differential System ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Fractional Differential System ◽  
Coupled Integral Boundary Conditions ◽  
Existence Of Positive Solutions ◽  
Singular Fractional Differential System ◽  
Fractional Differential

We study the positive solutions of the(n-1,1)-type fractional differential system with coupled integral boundary conditions. The conditions for the existence of positive solutions to the system are established. In addition, we derive explicit formulae for the estimation of the positive solutions and obtain the unique positive solution when certain additional conditions hold. An example is then given to demonstrate the validity of our main results.

On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions

2015 ◽  
Vol 18 (2) ◽  
Author(s):  
Johnny Henderson ◽  
Rodica Luca ◽  
Alexandru Tudorache
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Existence And Multiplicity ◽  
Coupled Integral Boundary Conditions ◽  
Fractional Differential ◽  
Multiplicity Of Positive Solutions

AbstractWe investigate the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to coupled integral boundary conditions. The nonsingular and singular cases are studied.

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