Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference

Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference

We consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. And we transform the fractional boundary value problem into boundary value problem of integer order difference equation. By using a generalization of Legget...

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Main Authors: Yansheng He, Mingzhe Sun, Chengmin Hou
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/147975
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spelling doaj-ce21ffbe631b4947b16cd07146db7d1a2020-11-24T22:55:18ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/147975147975Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional DifferenceYansheng He0Mingzhe Sun1Chengmin Hou2Department of Mathematics, College of Science, Yanbian University, Yanji 133002, ChinaDepartment of Mathematics, College of Science, Yanbian University, Yanji 133002, ChinaDepartment of Mathematics, College of Science, Yanbian University, Yanji 133002, ChinaWe consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. And we transform the fractional boundary value problem into boundary value problem of integer order difference equation. By using a generalization of Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions.http://dx.doi.org/10.1155/2014/147975
collection DOAJ
language English
format Article
sources DOAJ
author Yansheng He
Mingzhe Sun
Chengmin Hou
spellingShingle Yansheng He
Mingzhe Sun
Chengmin Hou
Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference
Abstract and Applied Analysis
author_facet Yansheng He
Mingzhe Sun
Chengmin Hou
author_sort Yansheng He
title Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference
title_short Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference
title_full Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference
title_fullStr Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference
title_full_unstemmed Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference
title_sort multiple positive solutions of nonlinear boundary value problem for finite fractional difference
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. And we transform the fractional boundary value problem into boundary value problem of integer order difference equation. By using a generalization of Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions.
url http://dx.doi.org/10.1155/2014/147975
work_keys_str_mv AT yanshenghe multiplepositivesolutionsofnonlinearboundaryvalueproblemforfinitefractionaldifference
AT mingzhesun multiplepositivesolutionsofnonlinearboundaryvalueproblemforfinitefractionaldifference
AT chengminhou multiplepositivesolutionsofnonlinearboundaryvalueproblemforfinitefractionaldifference
_version_ 1725657109777874944

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