Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions

In this paper, we investigate the existence of positive solutions for the boundary value problem of nonlinear fractional differential equation with mixed fractional derivatives and p-Laplacian operator. Then we establish two smart generalizations of Lyapunov-type inequalities. Some applications are...

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Detalles Bibliográficos
Autores principales: Liu, Yang, Xie, Dapeng, Yang, Dandan, Bai, Chuanzhi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5415628/
https://www.ncbi.nlm.nih.gov/pubmed/28529435
http://dx.doi.org/10.1186/s13660-017-1374-3
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author Liu, Yang
Xie, Dapeng
Yang, Dandan
Bai, Chuanzhi
author_facet Liu, Yang
Xie, Dapeng
Yang, Dandan
Bai, Chuanzhi
author_sort Liu, Yang
collection PubMed
description In this paper, we investigate the existence of positive solutions for the boundary value problem of nonlinear fractional differential equation with mixed fractional derivatives and p-Laplacian operator. Then we establish two smart generalizations of Lyapunov-type inequalities. Some applications are given to demonstrate the effectiveness of the new results.
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spelling pubmed-54156282017-05-19 Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions Liu, Yang Xie, Dapeng Yang, Dandan Bai, Chuanzhi J Inequal Appl Research In this paper, we investigate the existence of positive solutions for the boundary value problem of nonlinear fractional differential equation with mixed fractional derivatives and p-Laplacian operator. Then we establish two smart generalizations of Lyapunov-type inequalities. Some applications are given to demonstrate the effectiveness of the new results. Springer International Publishing 2017-05-03 2017 /pmc/articles/PMC5415628/ /pubmed/28529435 http://dx.doi.org/10.1186/s13660-017-1374-3 Text en © The Author(s) 2017 Open Access This 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
Liu, Yang
Xie, Dapeng
Yang, Dandan
Bai, Chuanzhi
Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions
title Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions
title_full Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions
title_fullStr Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions
title_full_unstemmed Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions
title_short Two generalized Lyapunov-type inequalities for a fractional p-Laplacian equation with fractional boundary conditions
title_sort two generalized lyapunov-type inequalities for a fractional p-laplacian equation with fractional boundary conditions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5415628/
https://www.ncbi.nlm.nih.gov/pubmed/28529435
http://dx.doi.org/10.1186/s13660-017-1374-3
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AT xiedapeng twogeneralizedlyapunovtypeinequalitiesforafractionalplaplacianequationwithfractionalboundaryconditions
AT yangdandan twogeneralizedlyapunovtypeinequalitiesforafractionalplaplacianequationwithfractionalboundaryconditions
AT baichuanzhi twogeneralizedlyapunovtypeinequalitiesforafractionalplaplacianequationwithfractionalboundaryconditions

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