Positive Solutions for a Fractional Boundary Value Problem with a Perturbation Term

We obtain some new upper and lower estimates for the Green’s function associated with a fractional boundary value problem with a perturbation term. Criteria for the existence of positive solutions of the problem are then obtained based on it.

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Bibliographic Details
Main Author: Yumei Zou
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/9070247
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author Yumei Zou
author_facet Yumei Zou
author_sort Yumei Zou
collection DOAJ
description We obtain some new upper and lower estimates for the Green’s function associated with a fractional boundary value problem with a perturbation term. Criteria for the existence of positive solutions of the problem are then obtained based on it.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-8bea074ba434472ca1dedeaed833116d2025-08-20T03:37:40ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/90702479070247Positive Solutions for a Fractional Boundary Value Problem with a Perturbation TermYumei Zou0Department of Statistics and Finance, Shandong University of Science and Technology, Qingdao 266590, ChinaWe obtain some new upper and lower estimates for the Green’s function associated with a fractional boundary value problem with a perturbation term. Criteria for the existence of positive solutions of the problem are then obtained based on it.http://dx.doi.org/10.1155/2018/9070247
spellingShingle Yumei Zou
Positive Solutions for a Fractional Boundary Value Problem with a Perturbation Term
Journal of Function Spaces
title Positive Solutions for a Fractional Boundary Value Problem with a Perturbation Term
title_full Positive Solutions for a Fractional Boundary Value Problem with a Perturbation Term
title_fullStr Positive Solutions for a Fractional Boundary Value Problem with a Perturbation Term
title_full_unstemmed Positive Solutions for a Fractional Boundary Value Problem with a Perturbation Term
title_short Positive Solutions for a Fractional Boundary Value Problem with a Perturbation Term
title_sort positive solutions for a fractional boundary value problem with a perturbation term
url http://dx.doi.org/10.1155/2018/9070247
work_keys_str_mv AT yumeizou positivesolutionsforafractionalboundaryvalueproblemwithaperturbationterm