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

Erdal Karapinar, Shimaa I. Moustafa, Ayman Shehata, Ravi P. Agarwal, Qasem M. Al-Mdallal

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

In this paper, we investigate the existence of a unique coupled fixed point for -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.

Original languageEnglish
Article number7126045
JournalDiscrete Dynamics in Nature and Society
Volume2020
DOIs
Publication statusPublished - Jul 2020
Externally publishedYes

ASJC Scopus subject areas

  • Modelling and Simulation

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