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Browsing by Author "Defterli, O."

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    Citation - Scopus: 1
    A Fractional Lagrangian Approach for Two Masses with Linear and Cubic Nonlinear Stiffness
    (Institute of Electrical and Electronics Engineers Inc., 2023) Defterli, O.; Defterli, Özlem; Baleanu, D.; Jajarmi, A.; Wannan, R.; Asad, J.; 31401; 56389; Matematik
    In this manuscript, the fractional dynamics of the two-mass spring system with two kinds of stiffness, namely linear and strongly nonlinear, are investigated. The corresponding fractional Euler-Lagrange equations of the system are derived being a system of two-coupled fractional differential equations with strong cubic nonlinear term. The numerical results of the system are obtained using Euler's approximation method and simulated with respect to the different values of the model parameters as mass, stiffness and order of the fractional derivative in use. The interpretation of the approximate results of the so-called generalized two-mass spring system is discussed via the fractional order. © 2023 IEEE.
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    Article
    Citation - Scopus: 87
    Fractional diffusion on bounded domains
    (Walter de Gruyter GmbH, 2015) Defterli, O.; Defterli, Özlem; D'Elia, M.; Du, Q.; Gunzburger, M.; Lehoucq, R.; Meerschaert, M.M.; Matematik
    The mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. This paper discusses the application of nonlocal diffusion theory to specify well-posed fractional diffusion equations on bounded domains. © 2015 Diogenes Co., Sofia.
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    Citation - Scopus: 2
    Stability Analysis of COVID-19 via a Fractional Order Mathematical Model
    (Springer Science and Business Media Deutschland GmbH, 2022) Defterli, Özlem; Arshad, S.; Wali, M.; Baleanu, Dumitru; Defterli, O.; Baleanu, D.; 56389; 31401; Matematik
    In this work, a four compartmental SEIR model is constructed for the transmission of the Novel Coronavirus infectious disease using Caputo fractional derivative. The disease-free equilibrium and endemic equilibrium are investigated with the stability analysis correspondingly. The solution at different fractional orders is obtained using the Laplace Adomian Decomposition method. Furthermore, the dynamics of the proposed fractional order model are interpreted graphically to observe the behaviour of the spread of disease by altering the values of initially exposed individuals and transmission rate. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.