Solvability of a boundary value problem at resonance

This paper concerns the solvability of a nonlinear fractional boundary value problem at resonance. By using fixed point theorems we prove that the perturbed problem has a solution, then by some ideas from analysis we show that the original problem is solvable. An example is given to illustrate the o...

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Detalles Bibliográficos
Autores principales: Guezane-Lakoud, A., Khaldi, R., Kılıçman, A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5014845/
https://www.ncbi.nlm.nih.gov/pubmed/27652077
http://dx.doi.org/10.1186/s40064-016-3172-7
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author Guezane-Lakoud, A.
Khaldi, R.
Kılıçman, A.
author_facet Guezane-Lakoud, A.
Khaldi, R.
Kılıçman, A.
author_sort Guezane-Lakoud, A.
collection PubMed
description This paper concerns the solvability of a nonlinear fractional boundary value problem at resonance. By using fixed point theorems we prove that the perturbed problem has a solution, then by some ideas from analysis we show that the original problem is solvable. An example is given to illustrate the obatined results.
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spelling pubmed-50148452016-09-20 Solvability of a boundary value problem at resonance Guezane-Lakoud, A. Khaldi, R. Kılıçman, A. Springerplus Research This paper concerns the solvability of a nonlinear fractional boundary value problem at resonance. By using fixed point theorems we prove that the perturbed problem has a solution, then by some ideas from analysis we show that the original problem is solvable. An example is given to illustrate the obatined results. Springer International Publishing 2016-09-07 /pmc/articles/PMC5014845/ /pubmed/27652077 http://dx.doi.org/10.1186/s40064-016-3172-7 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
Guezane-Lakoud, A.
Khaldi, R.
Kılıçman, A.
Solvability of a boundary value problem at resonance
title Solvability of a boundary value problem at resonance
title_full Solvability of a boundary value problem at resonance
title_fullStr Solvability of a boundary value problem at resonance
title_full_unstemmed Solvability of a boundary value problem at resonance
title_short Solvability of a boundary value problem at resonance
title_sort solvability of a boundary value problem at resonance
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5014845/
https://www.ncbi.nlm.nih.gov/pubmed/27652077
http://dx.doi.org/10.1186/s40064-016-3172-7
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