$Common fixed point theorems for auxiliary functions with applications in fractional differential equation$
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Common fixed point theorems for auxiliary functions with applications in fractional differential equation

Abstract In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the solutions for Caputo fractional boundary value problems with the integral boundar...

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Autores principales:	Ben Wongsaijai, Phakdi Charoensawan, Teeranush Suebcharoen, Watchareepan Atiponrat
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Fixed point Common fixed point Fractional differential equation Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0a2167afdcb84e1b8418c2ad42a763d8
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spelling	oai:doaj.org-article:0a2167afdcb84e1b8418c2ad42a763d82021-11-28T12:08:28ZCommon fixed point theorems for auxiliary functions with applications in fractional differential equation10.1186/s13662-021-03660-x1687-1847https://doaj.org/article/0a2167afdcb84e1b8418c2ad42a763d82021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03660-xhttps://doaj.org/toc/1687-1847Abstract In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the solutions for Caputo fractional boundary value problems with the integral boundary condition type. In addition, we also give examples and numerical experiments supporting our main results.Ben WongsaijaiPhakdi CharoensawanTeeranush SuebcharoenWatchareepan AtiponratSpringerOpenarticleFixed pointCommon fixed pointFractional differential equationMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-23 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fixed point Common fixed point Fractional differential equation Mathematics QA1-939
spellingShingle	Fixed point Common fixed point Fractional differential equation Mathematics QA1-939 Ben Wongsaijai Phakdi Charoensawan Teeranush Suebcharoen Watchareepan Atiponrat Common fixed point theorems for auxiliary functions with applications in fractional differential equation
description	Abstract In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the solutions for Caputo fractional boundary value problems with the integral boundary condition type. In addition, we also give examples and numerical experiments supporting our main results.
format	article
author	Ben Wongsaijai Phakdi Charoensawan Teeranush Suebcharoen Watchareepan Atiponrat
author_facet	Ben Wongsaijai Phakdi Charoensawan Teeranush Suebcharoen Watchareepan Atiponrat
author_sort	Ben Wongsaijai
title	Common fixed point theorems for auxiliary functions with applications in fractional differential equation
title_short	Common fixed point theorems for auxiliary functions with applications in fractional differential equation
title_full	Common fixed point theorems for auxiliary functions with applications in fractional differential equation
title_fullStr	Common fixed point theorems for auxiliary functions with applications in fractional differential equation
title_full_unstemmed	Common fixed point theorems for auxiliary functions with applications in fractional differential equation
title_sort	common fixed point theorems for auxiliary functions with applications in fractional differential equation
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/0a2167afdcb84e1b8418c2ad42a763d8
work_keys_str_mv	AT benwongsaijai commonfixedpointtheoremsforauxiliaryfunctionswithapplicationsinfractionaldifferentialequation AT phakdicharoensawan commonfixedpointtheoremsforauxiliaryfunctionswithapplicationsinfractionaldifferentialequation AT teeranushsuebcharoen commonfixedpointtheoremsforauxiliaryfunctionswithapplicationsinfractionaldifferentialequation AT watchareepanatiponrat commonfixedpointtheoremsforauxiliaryfunctionswithapplicationsinfractionaldifferentialequation
_version_	1718408180515471360

Common fixed point theorems for auxiliary functions with applications in fractional differential equation

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