Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions

By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.

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Main Authors: Guotao Wang, Sanyang Liu, Lihong Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/916260
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author Guotao Wang
Sanyang Liu
Lihong Zhang
author_facet Guotao Wang
Sanyang Liu
Lihong Zhang
author_sort Guotao Wang
collection DOAJ
description By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.
format Article
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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-1f770487298048d49866f8b5a17ec0f02025-02-03T01:32:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/916260916260Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary ConditionsGuotao Wang0Sanyang Liu1Lihong Zhang2Department of Applied Mathematics, Xidian University, Xi'an, Shaanxi 710071, ChinaDepartment of Applied Mathematics, Xidian University, Xi'an, Shaanxi 710071, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, ChinaBy employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.http://dx.doi.org/10.1155/2014/916260
spellingShingle Guotao Wang
Sanyang Liu
Lihong Zhang
Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
Abstract and Applied Analysis
title Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
title_full Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
title_fullStr Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
title_full_unstemmed Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
title_short Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
title_sort eigenvalue problem for nonlinear fractional differential equations with integral boundary conditions
url http://dx.doi.org/10.1155/2014/916260
work_keys_str_mv AT guotaowang eigenvalueproblemfornonlinearfractionaldifferentialequationswithintegralboundaryconditions
AT sanyangliu eigenvalueproblemfornonlinearfractionaldifferentialequationswithintegralboundaryconditions
AT lihongzhang eigenvalueproblemfornonlinearfractionaldifferentialequationswithintegralboundaryconditions