scholarly journals New results for a class of boundary value problems involving impulsive fractional differential equations

Filomat ◽  
2020 ◽  
Vol 34 (3) ◽  
pp. 707-725
Author(s):  
Feng-Xia Zheng
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Iterative Sequence ◽  
Mixed Monotone Operator ◽  
Impulsive Fractional Differential Equations ◽  
Fractional Differential

In this paper, a class of boundary value problems involving impulsive fractional differential equations is studied. By constructing Green?s function, a natural formula of solutions is derived. By applying fixed point theorems for mixed monotone operator with perturbation and sum operator, some new results on the existence and uniqueness of positive solutions are obtained, and an iterative sequence is constructed to approximate the positive solutions.

scholarly journals Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Yansheng Liu
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Topological Degree ◽  
Boundary Value ◽  
Degree Theory ◽  
Topological Degree Theory ◽  
Existence Of Positive Solutions ◽  
Fractional Differential

This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. Finally, an example is worked out to demonstrate the main result.

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