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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Bibliographic Details
Main Authors: Erdal Karapinar, Shimaa I. Moustafa, Ayman Shehata, Ravi P. Agarwal
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/7126045
Description
Summary: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.
ISSN:1607-887X