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.

Bibliographic Details
Main Authors: Wenzhe Xie, Jing Xiao, Zhiguo Luo
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/812910
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spelling doaj-e4f5b727b7044f97b2410495e6691ee92020-11-24T21:04:04ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Wenzhe Xie
Jing Xiao
Zhiguo Luo
spellingShingle Wenzhe Xie
Jing Xiao
Zhiguo Luo
Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence
Abstract and Applied Analysis
author_facet Wenzhe Xie
Jing Xiao
Zhiguo Luo
author_sort Wenzhe Xie
title 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_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_sort existence of solutions for fractional boundary value problem with nonlinear derivative dependence
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/812910
work_keys_str_mv AT wenzhexie existenceofsolutionsforfractionalboundaryvalueproblemwithnonlinearderivativedependence
AT jingxiao existenceofsolutionsforfractionalboundaryvalueproblemwithnonlinearderivativedependence
AT zhiguoluo existenceofsolutionsforfractionalboundaryvalueproblemwithnonlinearderivativedependence
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