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Access Right: info:eu-repo/semantics/closedAccessPublisher: Texas State Univ

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    Article
    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.
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    Article
    Citation - WoS: 15
    FIXED POINT RESULTS FOR GENERALIZED α-ψ-CONTRACTIONS IN METRIC-LIKE SPACES AND APPLICATIONS
    (Texas State Univ, 2015) Aydi, Hassen; Karapinar, Erdal
    In this article, we introduce the concept of generalized alpha-psi-contraction in the context of metric-like spaces and establish some related fixed point theorems. As consequences, we obtain some known fixed point results in the literature. Some examples and an application on two-point boundary value problems for second order differential equation are also considered.