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,...
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Wiley
2020-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2020/7126045 |
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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. |
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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 |
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