scholarly journals Existence of Positive Solutions for a Functional Fractional Boundary Value Problem

2010 ◽  
Vol 2010 ◽  
pp. 1-13 ◽  
Author(s):  
Chuanzhi Bai
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Fractional Order ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Existence Results ◽  
Fractional Boundary Value Problem ◽  
Existence Of Positive Solutions ◽  
Functional Differential

We study the existence of positive solutions for a boundary value problem of fractional-order functional differential equations. Several new existence results are obtained.

scholarly journals Antiperiodic Boundary Value Problems for Impulsive Fractional Functional Differential Equations via Conformable Derivative

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Jingfeng Wang ◽  
Chuanzhi Bai
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Monotone Iterative ◽  
Lower And Upper Solution ◽  
Functional Differential ◽  
Novel Concept ◽  
Fractional Functional Differential Equations ◽  
Theoretical Results ◽  
Fractional Functional

In this paper, by using the lower and upper solution method and the monotone iterative technique, we investigate the existence of solutions to antiperiodic boundary value problems for impulsive fractional functional equations via a recent novel concept of conformable fractional derivative. An example is given to illustrate our theoretical results.

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