Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian Operator

Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian Operator

This paper mainly studies a class of mixed fractional boundary value problem with parameter and p-Laplacian operator. Based on the Guo-Krasnosel’skii fixed point theorem, results on the existence and nonexistence of positive solutions for the fractional boundary value problem are established. An exa...

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Main Author: Ying Wang
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/1462825
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spelling doaj-6b9b106e3c0d44aab9c25e0f37ba0c752020-11-24T22:13:27ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/14628251462825Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian OperatorYing Wang0School of Mathematics and Statistics, Linyi University, Linyi 276000, Shandong, ChinaThis paper mainly studies a class of mixed fractional boundary value problem with parameter and p-Laplacian operator. Based on the Guo-Krasnosel’skii fixed point theorem, results on the existence and nonexistence of positive solutions for the fractional boundary value problem are established. An example is then presented to illustrate the effectiveness of the results.http://dx.doi.org/10.1155/2018/1462825
collection DOAJ
language English
format Article
sources DOAJ
author Ying Wang
spellingShingle Ying Wang
Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian Operator
Journal of Function Spaces
author_facet Ying Wang
author_sort Ying Wang
title Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian Operator
title_short Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian Operator
title_full Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian Operator
title_fullStr Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian Operator
title_full_unstemmed Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p-Laplacian Operator
title_sort existence and nonexistence of positive solutions for mixed fractional boundary value problem with parameter and p-laplacian operator
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2018-01-01
description This paper mainly studies a class of mixed fractional boundary value problem with parameter and p-Laplacian operator. Based on the Guo-Krasnosel’skii fixed point theorem, results on the existence and nonexistence of positive solutions for the fractional boundary value problem are established. An example is then presented to illustrate the effectiveness of the results.
url http://dx.doi.org/10.1155/2018/1462825
work_keys_str_mv AT yingwang existenceandnonexistenceofpositivesolutionsformixedfractionalboundaryvalueproblemwithparameterandplaplacianoperator
_version_ 1725800971070603264

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