Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions

Using Krein-Rutman theorem, topological degree theory, and bifurcation techniques, this paper investigates the existence of positive solutions for a class of boundary value problems of fractional differential inclusions.

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Main Authors: Yansheng Liu, Huimin Yu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/942831
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author Yansheng Liu
Huimin Yu
author_facet Yansheng Liu
Huimin Yu
author_sort Yansheng Liu
collection DOAJ
description Using Krein-Rutman theorem, topological degree theory, and bifurcation techniques, this paper investigates the existence of positive solutions for a class of boundary value problems of fractional differential inclusions.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-4152a2a4acc340eb85e72fe94239803c2025-02-03T05:52:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/942831942831Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential InclusionsYansheng Liu0Huimin Yu1Department of Mathematics, Shandong Normal University, Jinan 250014, ChinaDepartment of Mathematics, Shandong Normal University, Jinan 250014, ChinaUsing Krein-Rutman theorem, topological degree theory, and bifurcation techniques, this paper investigates the existence of positive solutions for a class of boundary value problems of fractional differential inclusions.http://dx.doi.org/10.1155/2013/942831
spellingShingle Yansheng Liu
Huimin Yu
Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions
Abstract and Applied Analysis
title Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions
title_full Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions
title_fullStr Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions
title_full_unstemmed Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions
title_short Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions
title_sort bifurcation of positive solutions for a class of boundary value problems of fractional differential inclusions
url http://dx.doi.org/10.1155/2013/942831
work_keys_str_mv AT yanshengliu bifurcationofpositivesolutionsforaclassofboundaryvalueproblemsoffractionaldifferentialinclusions
AT huiminyu bifurcationofpositivesolutionsforaclassofboundaryvalueproblemsoffractionaldifferentialinclusions