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Browsing by Author "Adeel, Muhammad"

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    Article
    Citation - WoS: 47
    Citation - Scopus: 39
    Existence of Solution and Stability for the Fractional Order Novel Coronavirus (ncov-2019) Model
    (Springer, 2020) Baleanu, Dumitru; Adeel, Muhammad; Hussain, Azhar; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo-Fabrizio derivative. We make use of fixed point theory and Picard-Lindelof technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the generalized Hyers-Ulam stability of the model using Gronwall's inequality.
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    Article
    Global Optimization and Applications To a Variational Inequality Problem
    (de Gruyter Poland Sp Z O O, 2021) Adeel, Muhammad; Aydi, Hassen; Baleanu, Dumitru; Hussain, Azhar; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In the present paper, we study the existence and convergence of the best proximity point for cyclic Theta-contractions. As consequences, we extract several fixed point results for such cyclic mappings. As an application, we present some solvability theorems in the topic of variational inequalities.