scholarly journals NONLOCAL INTEGRAL BOUNDARY VALUE PROBLEMS WITH CAUSAL OPERATORS AND FRACTIONAL DERIVATIVES

2020 ◽  
pp. 39-50
Author(s):  
WANG, G ◽  
ZHANG, L ◽  
AGARWAL, R
Keyword(s):  
Boundary Value Problems ◽  
Fractional Derivatives ◽  
Boundary Value ◽  
Integral Boundary ◽  
Causal Operators ◽  
Integral Boundary Value Problems

scholarly journals Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
Haiyan Zhang ◽  
Yaohong Li ◽  
Jiafa Xu
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fractional Derivatives ◽  
Fixed Point Index ◽  
Fractional Integral ◽  
Boundary Value ◽  
Integral Boundary ◽  
Existence Of Positive Solutions ◽  
Integral Boundary Value Problems ◽  
Hadamard Fractional Integral

In this paper, we use fixed-point index to study the existence of positive solutions for a system of Hadamard fractional integral boundary value problems involving nonnegative nonlinearities. By virtue of integral-type Jensen inequalities, some appropriate concave and convex functions are used to depict the coupling behaviors for our nonlinearities fii=1, 2.

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