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Yazar "Asad, Jihad H." için Matematik Bölümü listeleme

Yazar "Asad, Jihad H." için Matematik Bölümü listeleme

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  • A New Feature of the Fractional Euler–Lagrange Equations for A Coupled Oscillator Using A Nonsingular Operator Approach 
    Jajarmi, Amin; Baleanu, Dumitru; Sajjadi, S. S.; Asad, Jihad H. (Frontiers Media S.A., 2019-11-26)
    In this new work, the free motion of a coupled oscillator is investigated. First, a fully description of the system under study is formulated by considering its classical Lagrangian, and as a result, the classical ...
  • Classical and Fractional Aspects of Two Coupled Pendulums 
    Baleanu, Dumitru; Jajarmi, Amin; Asad, Jihad H. (Editura Academiei Romane, 2019)
    In this study, we consider two coupled pendulums (attached together with a spring) having the same length while the same masses are attached at their ends. After setting the system in motion we construct the classical ...
  • Fractional Bateman-Feshbach Tikochinsky Oscillator 
    Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo (IOP Publishing LTD, 2014-02)
    In the last few years the numerical methods for solving the fractional differential equations started to be applied intensively to real world phenomena. Having these things in mind in this manuscript we focus on the ...
  • Fractional Euler-Lagrange Equation of Caldirola-Kanai Oscillator 
    Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo; Elagan, S.; Bilgen, A. (Editura Academiei Romane, 2012)
    A study of the fractional Lagrangian of the so-called Caldirola-Kanai oscillator is presented. The fractional Euler-Lagrangian equations of the system have been obtained, and the obtained Euler-Lagrangian equations have ...
  • Fractional investigation of time-dependent mass pendulum 
    Baleanu, Dumitru; Jajarmi, Amin; Defterli, Özlem; Wannan, Rania; Sajjadi, Samaneh S; Asad, Jihad H. (2023)
    In this paper, we aim to study the dynamical behaviour of the motion for a simple pendulum with a mass decreasing exponentially in time. To examine this interesting system, we firstly obtain the classical Lagrangian and ...
  • Fractional Pais-Uhlenbeck Oscillator 
    Baleanu, Dumitru; Petras, Ivo; Asad, Jihad H.; Pilar Velasco, Maria (Springer, 2012-04)
    In this paper we study the fractional Lagrangian of Pais-Uhlenbeck oscillator. We obtained the fractional Euler-Lagrangian equation of the system and then we studied the obtained Euler-Lagrangian equation numerically. The ...
  • Fractional Treatment: An Accelerated Mass-Spring System 
    Defterli, Ozlem; Baleanu, Dumitru; Jajarmi, Amin; Sajjadi, Samaneh Sadat; Alshaikh, Noorhan; Asad, Jihad H. (2022)
    The aim of this manuscript is to study the dynamics of the motion of an accelerated mass-spring system within fractional calculus. To investigate the described system, firstly, we construct the corresponding Lagrangian and ...
  • Fractional-order two-electric pendulum 
    Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo (Editura Acad Romane, 2012)
    In this paper we study the fractional Lagrangian of the two-electric pendulum. We obtained the fractional Euler-Lagrangian equation of the system and then we studied the obtained Euler-Lagrangian equation analytically, and ...
  • Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system 
    Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Asad, Jihad H.; Jajarmi, Amin; Estiri, Elham (2021-12)
    In this paper, the hyperchaos analysis, optimal control, and synchronization of a nonautonomous cardiac conduction system are investigated. We mainly analyze, control, and synchronize the associated hyperchaotic behaviors ...
  • Motion Of A Spherical Particle In A Rotating Parabola Using Fractional Lagrangian 
    Baleanu, Dumitru; Asad, Jihad H.; Alipour, Mohsen; Blaszczyk, Tomasz (Univ Politehnica Bucharest, 2017)
    In this work, the fractional Lagrangian of a particle moving in a rotating parabola is used to obtain the fractional Euler- Lagrange equations of motion where derivatives within it are given in Caputo fractional derivative. ...
  • New Aspects of the Motion of A Particle In A Circular Cavity 
    Baleanu, Dumitru; Asad, Jihad H.; Jajarmi, Amin (Editura Academiei Romane, 2018-04)
    In this work, we consider the free motion of a particle in a circular cavity. For this model, we obtain the classical and fractional Lagrangian as well as the fractional Hamilton's equations (FHEs) of motion. The fractional ...
  • New features of the fractional Euler-Lagrange equations for a physical system within non-singular derivative operator 
    Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Jajarmi, Amin; Asad, Jihad H. (Springer Heidelberg, 2019-04)
    Free motion of a fractional capacitor microphone is investigated in this paper. First, a capacitor microphone is introduced and the Euler-Lagrange equations are established. Due to the fractional derivative's the history ...
  • Novel Numerical Approach Based on Modified Extended Cubic B-Spline Functions for Solving Non-Linear Time-Fractional Telegraph Equation 
    Akram, Tayyaba; Abbas, Muhammad; Iqbal, Azhar; Baleanu, Dumitru; Asad, Jihad H. (2020-07)
    The telegraph model describes that the current and voltage waves can be reflected on a wire, that symmetrical wave patterns can form along a line. A numerical study of these voltage and current waves on a transferral line ...
  • Numerical solution of the fractional Euler-Lagrange's equations of a thin elastica model 
    Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo (Springer, 2015-07)
    In this manuscript, we investigated the fractional thin elastic system. We studied the obtained fractional Euler-Lagrange's equations of the system numerically. The numerical study is based on Grunwald-Letnikov approach, ...
  • Numerical study for fractional euler-lagrange equations of a harmonic oscillator on a moving platform 
    Baleanu, Dumitru; Blaszczyk, Tomasz; Asad, Jihad H.; Alipour, Mohsen (Polish Acad Sciences Inst Physics, 2016-09)
    We investigate the fractional harmonic oscillator on a moving platform. We obtained the fractional Euler-Lagrange equation from the derived fractional Lagrangian of the system which contains left Caputo fractional derivative. ...
  • On the motion of a heavy bead sliding on a rotating wire - Fractional treatment 
    Baleanu, Dumitru; Asad, Jihad H.; Alipour, Mohsen (Elsevier Science BV, 2018-12)
    In this work, we consider the motion of a heavy particle sliding on a rotating wire. The first step carried for this model is writing the classical and fractional Lagrangian. Secondly, the fractional Hamilton's equations ...
  • Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus 
    Baleanu, Dumitru; Ghanbari, Behzad; Asad, Jihad H.; Jajarmi, Amin; Pirouz, Hassan Mohammadi (2020)
    In this work, a system of three masses on the vertices of equilateral triangle is investigated. This system is known in the literature as a planar system. We first give a description to the system by constructing its ...
  • The fractional dynamics of a linear triatomic molecule 
    Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Jajarmi, Amin; Defterli, Özlem; Asad, Jihad H. (2021)
    In this research, we study the dynamical behaviors of a linear triatomic molecule. First, a classical Lagrangian approach is followed which produces the classical equations of motion. Next, the generalized form of the ...
  • The fractional features of a harmonic oscillator with position-dependent mass 
    Baleanu, Dumitru; Jajarmi, Amin; Sajjadi, Samaneh Sadat; Asad, Jihad H. (2020-04-01)
    In this study, a harmonic oscillator with position-dependent mass is investigated. Firstly, as an introduction, we give a full description of the system by constructing its classical Lagrangian; thereupon, we derive the ...
  • The Fractional Model of Spring Pendulum: New Features Within Different Kernels 
    Baleanu, Dumitru; Asad, Jihad H.; Jajarmi, Amin (Editura Academiei Romane, 2018-07)
    In this work, new aspects of the fractional calculus (FC) are examined for a model of spring pendulum in fractional sense. First, we obtain the classical Lagrangian of the model, and as a result, we derive the classical ...