On the existence of positive solutions for fractional differential inclusions at resonance

In this paper, we discuss the existence of positive solutions for a boundary value problem of fractional differential inclusions with resonant boundary conditions. By using the Leggett–Williams theorem for coincidences of multi-valued operators due to O’Regan and Zima, results on the existence of po...

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Detalles Bibliográficos
Autor principal: Hu, Lei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4930441/
https://www.ncbi.nlm.nih.gov/pubmed/27386400
http://dx.doi.org/10.1186/s40064-016-2665-8
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author Hu, Lei
author_facet Hu, Lei
author_sort Hu, Lei
collection PubMed
description In this paper, we discuss the existence of positive solutions for a boundary value problem of fractional differential inclusions with resonant boundary conditions. By using the Leggett–Williams theorem for coincidences of multi-valued operators due to O’Regan and Zima, results on the existence of positive solutions are established. An example is given to illustrate the efficiency of the main theorems.
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spelling pubmed-49304412016-07-06 On the existence of positive solutions for fractional differential inclusions at resonance Hu, Lei Springerplus Research In this paper, we discuss the existence of positive solutions for a boundary value problem of fractional differential inclusions with resonant boundary conditions. By using the Leggett–Williams theorem for coincidences of multi-valued operators due to O’Regan and Zima, results on the existence of positive solutions are established. An example is given to illustrate the efficiency of the main theorems. Springer International Publishing 2016-07-02 /pmc/articles/PMC4930441/ /pubmed/27386400 http://dx.doi.org/10.1186/s40064-016-2665-8 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Hu, Lei
On the existence of positive solutions for fractional differential inclusions at resonance
title On the existence of positive solutions for fractional differential inclusions at resonance
title_full On the existence of positive solutions for fractional differential inclusions at resonance
title_fullStr On the existence of positive solutions for fractional differential inclusions at resonance
title_full_unstemmed On the existence of positive solutions for fractional differential inclusions at resonance
title_short On the existence of positive solutions for fractional differential inclusions at resonance
title_sort on the existence of positive solutions for fractional differential inclusions at resonance
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4930441/
https://www.ncbi.nlm.nih.gov/pubmed/27386400
http://dx.doi.org/10.1186/s40064-016-2665-8
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