The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance

A four-point coupled boundary value problem of fractional differential equations is studied. Based on Mawhin’s coincidence degree theory, some existence theorems are obtained in the case of resonance.

Saved in:
Bibliographic Details
Main Authors: Yumei Zou, Lishan Liu, Yujun Cui
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/314083
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832559938316009472
author Yumei Zou
Lishan Liu
Yujun Cui
author_facet Yumei Zou
Lishan Liu
Yujun Cui
author_sort Yumei Zou
collection DOAJ
description A four-point coupled boundary value problem of fractional differential equations is studied. Based on Mawhin’s coincidence degree theory, some existence theorems are obtained in the case of resonance.
format Article
id doaj-art-e68e08110b1847dc8d6f22c6f339b693
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-e68e08110b1847dc8d6f22c6f339b6932025-02-03T01:28:58ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/314083314083The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at ResonanceYumei Zou0Lishan Liu1Yujun Cui2Department of Statistics and Finance, Shandong University of Science and Technology, Qingdao 266590, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaDepartment of Mathematics, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaA four-point coupled boundary value problem of fractional differential equations is studied. Based on Mawhin’s coincidence degree theory, some existence theorems are obtained in the case of resonance.http://dx.doi.org/10.1155/2014/314083
spellingShingle Yumei Zou
Lishan Liu
Yujun Cui
The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance
Abstract and Applied Analysis
title The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance
title_full The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance
title_fullStr The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance
title_full_unstemmed The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance
title_short The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance
title_sort existence of solutions for four point coupled boundary value problems of fractional differential equations at resonance
url http://dx.doi.org/10.1155/2014/314083
work_keys_str_mv AT yumeizou theexistenceofsolutionsforfourpointcoupledboundaryvalueproblemsoffractionaldifferentialequationsatresonance
AT lishanliu theexistenceofsolutionsforfourpointcoupledboundaryvalueproblemsoffractionaldifferentialequationsatresonance
AT yujuncui theexistenceofsolutionsforfourpointcoupledboundaryvalueproblemsoffractionaldifferentialequationsatresonance
AT yumeizou existenceofsolutionsforfourpointcoupledboundaryvalueproblemsoffractionaldifferentialequationsatresonance
AT lishanliu existenceofsolutionsforfourpointcoupledboundaryvalueproblemsoffractionaldifferentialequationsatresonance
AT yujuncui existenceofsolutionsforfourpointcoupledboundaryvalueproblemsoffractionaldifferentialequationsatresonance