Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric Spaces

In this paper, we investigate the existence of a unique coupled fixed point for α−admissible mapping which is of Fψ1,ψ2−contraction in the context of M−metric space. We have also shown that the results presented in this paper would extend many recent results appearing in the literature. Furthermore,...

Full description

Saved in:
Bibliographic Details
Main Authors: Erdal Karapinar, Shimaa I. Moustafa, Ayman Shehata, Ravi P. Agarwal
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/7126045
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832547041068187648
author Erdal Karapinar
Shimaa I. Moustafa
Ayman Shehata
Ravi P. Agarwal
author_facet Erdal Karapinar
Shimaa I. Moustafa
Ayman Shehata
Ravi P. Agarwal
author_sort Erdal Karapinar
collection DOAJ
description In this paper, we investigate the existence of a unique coupled fixed point for α−admissible mapping which is of Fψ1,ψ2−contraction in the context of M−metric space. We have also shown that the results presented in this paper would extend many recent results appearing in the literature. Furthermore, we apply our results to develop sufficient conditions for the existence and uniqueness of a solution for a coupled system of fractional hybrid differential equations with linear perturbations of second type and with three-point boundary conditions.
format Article
id doaj-art-cfa3e973a4c843f2876fe2a0cfd7de82
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-cfa3e973a4c843f2876fe2a0cfd7de822025-02-03T06:46:19ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/71260457126045Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric SpacesErdal Karapinar0Shimaa I. Moustafa1Ayman Shehata2Ravi P. Agarwal3Department of Medical Research, China Medical University, Taichung 40402, TaiwanDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptDepartment of Mathematics, Texas A & M University-Kingsville, 700 University Blvd., MSC 172, Kingsville, Texas 78363-8202, USAIn this paper, we investigate the existence of a unique coupled fixed point for α−admissible mapping which is of Fψ1,ψ2−contraction in the context of M−metric space. We have also shown that the results presented in this paper would extend many recent results appearing in the literature. Furthermore, we apply our results to develop sufficient conditions for the existence and uniqueness of a solution for a coupled system of fractional hybrid differential equations with linear perturbations of second type and with three-point boundary conditions.http://dx.doi.org/10.1155/2020/7126045
spellingShingle Erdal Karapinar
Shimaa I. Moustafa
Ayman Shehata
Ravi P. Agarwal
Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric Spaces
Discrete Dynamics in Nature and Society
title Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric Spaces
title_full Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric Spaces
title_fullStr Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric Spaces
title_full_unstemmed Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric Spaces
title_short Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric Spaces
title_sort fractional hybrid differential equations and coupled fixed point results for α admissible fψ1 ψ2 contractions in m metric spaces
url http://dx.doi.org/10.1155/2020/7126045
work_keys_str_mv AT erdalkarapinar fractionalhybriddifferentialequationsandcoupledfixedpointresultsforaadmissiblefps1ps2contractionsinmmetricspaces
AT shimaaimoustafa fractionalhybriddifferentialequationsandcoupledfixedpointresultsforaadmissiblefps1ps2contractionsinmmetricspaces
AT aymanshehata fractionalhybriddifferentialequationsandcoupledfixedpointresultsforaadmissiblefps1ps2contractionsinmmetricspaces
AT ravipagarwal fractionalhybriddifferentialequationsandcoupledfixedpointresultsforaadmissiblefps1ps2contractionsinmmetricspaces