TY - JOUR
T1 - Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for -Admissible Fψ1,ψ2-Contractions in M-Metric Spaces
AU - Karapinar, Erdal
AU - Moustafa, Shimaa I.
AU - Shehata, Ayman
AU - Agarwal, Ravi P.
AU - Al-Mdallal, Qasem M.
N1 - Publisher Copyright:
© 2020 Erdal Karapinar et al.
PY - 2020/7
Y1 - 2020/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85091955666&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85091955666&partnerID=8YFLogxK
U2 - 10.1155/2020/7126045
DO - 10.1155/2020/7126045
M3 - Article
AN - SCOPUS:85091955666
VL - 2020
JO - Discrete Dynamics in Nature and Society
JF - Discrete Dynamics in Nature and Society
SN - 1026-0226
M1 - 7126045
ER -