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Konu "Riemann-Liouville Derivatives" için listeleme

Konu "Riemann-Liouville Derivatives" için listeleme

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  • A uniqueness criterion for fractional differential equations with Caputo derivative 
    Baleanu, Dumitru; Mustafa, Octavian G.; O'Regan, Donal (Springer, 2013-03)
    We investigate the uniqueness of solutions to an initial value problem associated with a nonlinear fractional differential equation of order alpha a(0,1). The differential operator is of Caputo type whereas the nonlinearity ...
  • 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 Lie group method of the time-fractional Boussinesq equation 
    Jafari, Hossein; Kadkhoda, Nematollah; Baleanu, Dumitru (Springer, 2015-08)
    Finding the symmetries of the nonlinear fractional differential equations is a topic which has many applications in various fields of science and engineering. In this manuscript, firstly, we are interested in finding the ...
  • 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 ...
  • 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, ...