scholarly journals Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters

2014 ◽  
Vol 2014 (1) ◽  
pp. 268 ◽  
Author(s):  
Ying Wang ◽  
Lishan Liu ◽  
Yonghong Wu
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Integral Boundary Conditions ◽  
Higher Order ◽  
Integral Boundary ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
Coupled Integral Boundary Conditions ◽  
Fractional Differential

scholarly journals Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions

2018 ◽  
Vol 16 (1) ◽  
pp. 581-596 ◽  
Author(s):  
Xinan Hao ◽  
Huaqing Wang
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Sufficient Conditions ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
Existence Of Positive Solutions ◽  
Singular Fractional Differential Equations ◽  
Fractional Differential

AbstractIn this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which guarantee the existence of positive solutions are obtained. An example is given to illustrate the results.

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.

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