A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions

In this article, we discuss a new Hadamard fractional differential system with four-point boundary conditions [Formula: see text] where [Formula: see text] are two parameters with [Formula: see text] , [Formula: see text] are two real numbers and [Formula: see text] , [Formula: see text] , [Formula:...

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Detalles Bibliográficos
Autores principales: Zhai, Chengbo, Wang, Weixuan, Li, Hongyu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6096913/
https://www.ncbi.nlm.nih.gov/pubmed/30839562
http://dx.doi.org/10.1186/s13660-018-1801-0
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author Zhai, Chengbo
Wang, Weixuan
Li, Hongyu
author_facet Zhai, Chengbo
Wang, Weixuan
Li, Hongyu
author_sort Zhai, Chengbo
collection PubMed
description In this article, we discuss a new Hadamard fractional differential system with four-point boundary conditions [Formula: see text] where [Formula: see text] are two parameters with [Formula: see text] , [Formula: see text] are two real numbers and [Formula: see text] , [Formula: see text] , [Formula: see text] are constants, and [Formula: see text] are the Hadamard fractional derivatives of fractional order. Based upon a fixed point theorem of increasing φ-[Formula: see text] -concave operators, we establish the existence and uniqueness of solutions for the problem dependent on two constants [Formula: see text] .
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spelling pubmed-60969132018-08-24 A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions Zhai, Chengbo Wang, Weixuan Li, Hongyu J Inequal Appl Research In this article, we discuss a new Hadamard fractional differential system with four-point boundary conditions [Formula: see text] where [Formula: see text] are two parameters with [Formula: see text] , [Formula: see text] are two real numbers and [Formula: see text] , [Formula: see text] , [Formula: see text] are constants, and [Formula: see text] are the Hadamard fractional derivatives of fractional order. Based upon a fixed point theorem of increasing φ-[Formula: see text] -concave operators, we establish the existence and uniqueness of solutions for the problem dependent on two constants [Formula: see text] . Springer International Publishing 2018-08-10 2018 /pmc/articles/PMC6096913/ /pubmed/30839562 http://dx.doi.org/10.1186/s13660-018-1801-0 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
Zhai, Chengbo
Wang, Weixuan
Li, Hongyu
A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
title A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
title_full A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
title_fullStr A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
title_full_unstemmed A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
title_short A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
title_sort uniqueness method to a new hadamard fractional differential system with four-point boundary conditions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6096913/
https://www.ncbi.nlm.nih.gov/pubmed/30839562
http://dx.doi.org/10.1186/s13660-018-1801-0
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