Impulsive Boundary Value Problem for Differential Equations with Fractional Order

2012 ◽  
Vol 21 (3) ◽  
pp. 253-260 ◽  
Author(s):  
Yuansheng Tian ◽  
Zhanbing Bai
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Order ◽  
Boundary Value ◽  
Impulsive Boundary Value Problem

scholarly journals On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Zareen A. Khan ◽  
Rozi Gul ◽  
Kamal Shah
Keyword(s):  
Boundary Value Problem ◽  
Fractional Order ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Order Derivative ◽  
Liouville Type ◽  
Fractional Order Derivative ◽  
Impulsive Boundary Value Problems ◽  
Impulsive Boundary Value Problem ◽  
The Subject

Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence and puniness of a solution to the proposed problem. For our required results, we utilize the classical fixed point theorems from Banach and Scheafer. It is to be noted that the impulsive boundary value problem under the fractional order derivative of the Riemann-Liouville type has been very rarely considered in literature. Finally, to demonstrate the obtained results, we provide some pertinent examples.

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.

Impulsive boundary value problem with parameter

2015 ◽  
Vol 22 (3) ◽  
Author(s):  
Zokha Belattar ◽  
Abdelkader Lakmeche
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Implicit Function Theorem ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Impulsive Differential Equations ◽  
Second Order ◽  
Implicit Function ◽  
Impulsive Boundary Value Problem ◽  
The Mean

AbstractIn this work, we investigate the existence of solutions for a class of second order impulsive differential equations using either the implicit function theorem or bifurcation techniques by the mean of Krasnosel'ski theorem.

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