Positive Solutions of Fractional Differential Equations with p-Laplacian

The multiplicity of positive solution for a new class of four-point boundary value problem of fractional differential equations with p-Laplacian operator is investigated. By the use of the Leggett-Williams fixed-point theorem, the multiplicity results of positive solution are obtained. An example is...

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Main Authors: Yuansheng Tian, Sujing Sun, Zhanbing Bai
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/3187492
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author Yuansheng Tian
Sujing Sun
Zhanbing Bai
author_facet Yuansheng Tian
Sujing Sun
Zhanbing Bai
author_sort Yuansheng Tian
collection DOAJ
description The multiplicity of positive solution for a new class of four-point boundary value problem of fractional differential equations with p-Laplacian operator is investigated. By the use of the Leggett-Williams fixed-point theorem, the multiplicity results of positive solution are obtained. An example is given to illustrate the main results.
format Article
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institution Kabale University
issn 2314-8896
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language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-540a6acc2bee45de9178e2feeb2a5d1e2025-08-20T03:36:25ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/31874923187492Positive Solutions of Fractional Differential Equations with p-LaplacianYuansheng Tian0Sujing Sun1Zhanbing Bai2College of Mathematics and Finance, Xiangnan University, Chenzhou 423000, ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaThe multiplicity of positive solution for a new class of four-point boundary value problem of fractional differential equations with p-Laplacian operator is investigated. By the use of the Leggett-Williams fixed-point theorem, the multiplicity results of positive solution are obtained. An example is given to illustrate the main results.http://dx.doi.org/10.1155/2017/3187492
spellingShingle Yuansheng Tian
Sujing Sun
Zhanbing Bai
Positive Solutions of Fractional Differential Equations with p-Laplacian
Journal of Function Spaces
title Positive Solutions of Fractional Differential Equations with p-Laplacian
title_full Positive Solutions of Fractional Differential Equations with p-Laplacian
title_fullStr Positive Solutions of Fractional Differential Equations with p-Laplacian
title_full_unstemmed Positive Solutions of Fractional Differential Equations with p-Laplacian
title_short Positive Solutions of Fractional Differential Equations with p-Laplacian
title_sort positive solutions of fractional differential equations with p laplacian
url http://dx.doi.org/10.1155/2017/3187492
work_keys_str_mv AT yuanshengtian positivesolutionsoffractionaldifferentialequationswithplaplacian
AT sujingsun positivesolutionsoffractionaldifferentialequationswithplaplacian
AT zhanbingbai positivesolutionsoffractionaldifferentialequationswithplaplacian