Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence

We investigate the existence of solutions for fractional boundary value problem including both left and right fractional derivatives by using variational methods and iterative technique.

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Main Authors: Wenzhe Xie, Jing Xiao, Zhiguo Luo
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/812910
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author Wenzhe Xie
Jing Xiao
Zhiguo Luo
author_facet Wenzhe Xie
Jing Xiao
Zhiguo Luo
author_sort Wenzhe Xie
collection DOAJ
description We investigate the existence of solutions for fractional boundary value problem including both left and right fractional derivatives by using variational methods and iterative technique.
format Article
id doaj-art-e4f5b727b7044f97b2410495e6691ee9
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-e4f5b727b7044f97b2410495e6691ee92025-02-03T05:51:42ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/812910812910Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative DependenceWenzhe Xie0Jing Xiao1Zhiguo Luo2Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaDepartment of Information Engineering, Guangdong Medical College, Dongguan, Guangdong 523808, ChinaDepartment of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaWe investigate the existence of solutions for fractional boundary value problem including both left and right fractional derivatives by using variational methods and iterative technique.http://dx.doi.org/10.1155/2014/812910
spellingShingle Wenzhe Xie
Jing Xiao
Zhiguo Luo
Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence
Abstract and Applied Analysis
title Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence
title_full Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence
title_fullStr Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence
title_full_unstemmed Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence
title_short Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence
title_sort existence of solutions for fractional boundary value problem with nonlinear derivative dependence
url http://dx.doi.org/10.1155/2014/812910
work_keys_str_mv AT wenzhexie existenceofsolutionsforfractionalboundaryvalueproblemwithnonlinearderivativedependence
AT jingxiao existenceofsolutionsforfractionalboundaryvalueproblemwithnonlinearderivativedependence
AT zhiguoluo existenceofsolutionsforfractionalboundaryvalueproblemwithnonlinearderivativedependence