Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative

A Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] is the ψ-Caputo fraction...

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Detalles Bibliográficos
Autores principales: Samet, Bessem, Aydi, Hassen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208624/
https://www.ncbi.nlm.nih.gov/pubmed/30839796
http://dx.doi.org/10.1186/s13660-018-1850-4
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author Samet, Bessem
Aydi, Hassen
author_facet Samet, Bessem
Aydi, Hassen
author_sort Samet, Bessem
collection PubMed
description A Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] is the ψ-Caputo fractional derivative of order α, and [Formula: see text] is a given function. Next, we give an application of the obtained inequality to the corresponding eigenvalue problem.
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spelling pubmed-62086242018-11-09 Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative Samet, Bessem Aydi, Hassen J Inequal Appl Research A Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] is the ψ-Caputo fractional derivative of order α, and [Formula: see text] is a given function. Next, we give an application of the obtained inequality to the corresponding eigenvalue problem. Springer International Publishing 2018-10-20 2018 /pmc/articles/PMC6208624/ /pubmed/30839796 http://dx.doi.org/10.1186/s13660-018-1850-4 Text en © The Author(s) 2018 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
Samet, Bessem
Aydi, Hassen
Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
title Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
title_full Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
title_fullStr Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
title_full_unstemmed Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
title_short Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
title_sort lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-caputo fractional derivative
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208624/
https://www.ncbi.nlm.nih.gov/pubmed/30839796
http://dx.doi.org/10.1186/s13660-018-1850-4
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