Fixed Point Approach to Bagley Torvik Problem

Fixed Point Approach to Bagley Torvik Problem

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In the present paper, a sufficient condition for existence and uniqueness of Bagley Torvik problem is obtained. The theorem on existence and uniqueness is established. This approach permits us to use fixed point iteration method to solve problem for differential equation involving derivatives of non...

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Main Author: Lale CONA
Format: Article
Language:English
Published: BİSKA Bilisim Company 2017-10-01
Series:Communication in Mathematical Modeling and Applications
Subjects:
Fixed point
initial value problem
Bagley-Torvik equation
Riemann-Liouville derivative.
Online Access:http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8349
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spelling doaj-9818f4b9295248f1bdfa3844082667722020-11-24T22:44:29ZengBİSKA Bilisim CompanyCommunication in Mathematical Modeling and Applications2528-830X2528-830X2017-10-012350578349Fixed Point Approach to Bagley Torvik ProblemLale CONA0Gumushane University, Department of Mathematical EngineeringIn the present paper, a sufficient condition for existence and uniqueness of Bagley Torvik problem is obtained. The theorem on existence and uniqueness is established. This approach permits us to use fixed point iteration method to solve problem for differential equation involving derivatives of nonlinear order.http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8349Fixed pointinitial value problemBagley-Torvik equationRiemann-Liouville derivative.
collection DOAJ
language English
format Article
sources DOAJ
author Lale CONA
spellingShingle Lale CONA
Fixed Point Approach to Bagley Torvik Problem
Communication in Mathematical Modeling and Applications
Fixed point
initial value problem
Bagley-Torvik equation
Riemann-Liouville derivative.
author_facet Lale CONA
author_sort Lale CONA
title Fixed Point Approach to Bagley Torvik Problem
title_short Fixed Point Approach to Bagley Torvik Problem
title_full Fixed Point Approach to Bagley Torvik Problem
title_fullStr Fixed Point Approach to Bagley Torvik Problem
title_full_unstemmed Fixed Point Approach to Bagley Torvik Problem
title_sort fixed point approach to bagley torvik problem
publisher BİSKA Bilisim Company
series Communication in Mathematical Modeling and Applications
issn 2528-830X
2528-830X
publishDate 2017-10-01
description In the present paper, a sufficient condition for existence and uniqueness of Bagley Torvik problem is obtained. The theorem on existence and uniqueness is established. This approach permits us to use fixed point iteration method to solve problem for differential equation involving derivatives of nonlinear order.
topic Fixed point
initial value problem
Bagley-Torvik equation
Riemann-Liouville derivative.
url http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8349
work_keys_str_mv AT lalecona fixedpointapproachtobagleytorvikproblem
_version_ 1725691535009251328

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