Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations

This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. Finally, an example is worked out to demonstrate the main re...

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Main Author: Yansheng Liu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/162418
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author Yansheng Liu
author_facet Yansheng Liu
author_sort Yansheng Liu
collection DOAJ
description This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. Finally, an example is worked out to demonstrate the main result.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-b940978bd3e14eaf875c69f92ff2e2652025-02-03T01:31:05ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/162418162418Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential EquationsYansheng Liu0School of Mathematical Sciences, Shandong Normal University, Jinan 250014, ChinaThis paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. Finally, an example is worked out to demonstrate the main result.http://dx.doi.org/10.1155/2013/162418
spellingShingle Yansheng Liu
Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations
Abstract and Applied Analysis
title Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations
title_full Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations
title_fullStr Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations
title_full_unstemmed Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations
title_short Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations
title_sort positive solutions using bifurcation techniques for boundary value problems of fractional differential equations
url http://dx.doi.org/10.1155/2013/162418
work_keys_str_mv AT yanshengliu positivesolutionsusingbifurcationtechniquesforboundaryvalueproblemsoffractionaldifferentialequations