Degree theory and existence of positive solutions to coupled system involving proportional delay with fractional integral boundary conditions

2020 ◽  
Author(s):  
Anwar Ali ◽  
Muhammad Sarwar ◽  
Mian Bahadur Zada ◽  
Kamal Shah
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Fractional Integral ◽  
Degree Theory ◽  
Integral Boundary Conditions ◽  
Coupled System ◽  
Proportional Delay ◽  
Integral Boundary ◽  
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.

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