Browsing by Author "Baleanu,D."

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    Citation - Scopus: 56
    Applications of the Extended Fractional Euler-Lagrange Equations Model To Freely Oscillating Dynamical Systems
    (Publishing House of the Romanian Academy, 2016) Agila,A.; Baleanu,D.; Eid,R.; Irfanoglu,B.; Department of Mechatronics Engineering; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    The fractional calculus and the calculus of variations are utilized to model and control complex dynamical systems. Those systems are presented more accurately by means of fractional models. In this study, an extended version of the fractional Euler-Lagrange equations is introduced. In these equations the damping force term is extended to be proportional to the fractional derivative of the displacement with variable fractional order. The finite difference methods and the Coimbra fractional derivative are used to approximate the solution of the introduced fractional Euler-Lagrange equations model. The free oscillating single pendulum system is investigated. © 2016, Editura Academiei Romane. All rights reserved.