scholarly journals Existence of positive solutions for a singular semipositone differential system with nonlocal boundary conditions

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Huihui Liu ◽  
Zhaocai Hao
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Differential System ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Existence Of 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.

scholarly journals Existence of Positive Solutions for a System of Singular Fractional Boundary Value Problems with p-Laplacian Operators

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1890
Author(s):  
Ahmed Alsaedi ◽  
Rodica Luca ◽  
Bashir Ahmad
Keyword(s):  
Positive Solutions ◽  
Fractional Derivatives ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Existence And Multiplicity ◽  
Existence Of Positive Solutions ◽  
Fractional Differential ◽  
Multiplicity Of Positive Solutions ◽  
Laplacian Operators ◽  
Fractional Boundary Value Problems

We investigate the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with singular nonnegative nonlinearities and p-Laplacian operators, subject to nonlocal boundary conditions which contain fractional derivatives and Riemann–Stieltjes integrals.

scholarly journals Positive solutions of some nonlocal boundary value problems

2003 ◽  
Vol 2003 (18) ◽  
pp. 1047-1060 ◽  
Author(s):  
Gennaro Infante ◽  
J. R. L. Webb
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Nonlinear Term ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Point Boundary ◽  
General Behaviour ◽  
Nonlocal Boundary Value Problems ◽  
Existence Of Positive Solutions

We establish the existence of positive solutions of somem-point boundary value problems under weaker assumptions than previously employed. In particular, we do not require all the parameters occurring in the boundary conditions to be positive. Our results allow more general behaviour for the nonlinear term than being either sub- or superlinear.

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