scholarly journals POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS

2016 ◽  
Vol 6 (4) ◽  
pp. 1211-1227 ◽  
Author(s):  
Shengli Xie ◽  
◽  
Yiming Xie ◽  
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Higher Order ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
Fractional Differential

scholarly journals Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Tingting Qi ◽  
Yansheng Liu ◽  
Yujun Cui
Keyword(s):  
Fractional Integral ◽  
Existence Of Solutions ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Alternative Theory ◽  
Integral Boundary ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
Nonlinear Alternative ◽  
Fractional Differential

Applying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions. Meanwhile, two examples are worked out to illustrate the application of the main results.

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.

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