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Citation - WoS: 92
Solution of Fractional Differential Equations Via Coupled Fixed Point
(Texas State Univ, 2015) Afshari, Hojjat; Kalantari, Sabileh; Karapinar, Erdal
In this article, we investigate the existence and uniqueness of a solution for the fractional differential equation by introducing some new coupled fixed point theorems for the class of mixed monotone operators with perturbations in the context of partially ordered complete metric space.
Citation - WoS: 103
Citation - Scopus: 108
On Generalized Α - Ψ-Geraghty Contractions on b-metric Spaces
(Walter de Gruyter Gmbh, 2020) Afshari, Hojjat; Aydi, Hassen; Karapinar, Erdal
In this paper, we consider generalized alpha - psi-Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions. In particular, we extend, improve and generalize some earlier results in the literature on this topic. An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.