A survey and new investigation on \((n,n-k)\)-type boundary value problems for higher order impulsive fractional differential equations
type: Item
instance of: scholarly article
title: A survey and new investigation on \((n,n-k)\)-type boundary value problems for higher order impulsive fractional differential equations
zbMATH Open document ID: 1403.34002
author: Yuji Liu
published in: Tbilisi Mathematical Journal
publication date: 2017-04-25T00:00:00Z
review text: In this paper, the author firstly takes a survey for some existing results on boundary value problems of higher order ordinary differential equations. Then, the author makes a review for some literature on the solvability of boundary value problems for impulsive fractional differential equations. Thirdly, the author considers existence results of solutions for three classes of \((n,n-p)\)-type boundary value problems of impulsive higher order fractional differential equations by using some standard fixed point theorems in Banach space. Some examples are presented to illustrate the efficiency of the obtained results. Finally, the author gives some future research topics on impulsive fractional differential equations.
reviewed by: Wengui Yang
Mathematics Subject Classification ID: 34-02
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B37
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6707546
zbMATH Keywords: Riemann-Liouville fractional derivative
zbMATH Keywords: higher order fractional differential system
zbMATH Keywords: impulse effect
zbMATH Keywords: fixed point theorem
zbMATH Keywords: \((n,n-k)\) focal boundary value problem
MaRDI profile type: Publication
full work available at URL: tmj-2017-0014
OpenAlex ID: W2600875349
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A survey and new investigation on \((n,n-k)\)-type boundary value problems for higher order impulsive fractional differential equations (DOI)
DOI: 10.1515/TMJ-2017-0014

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