• DocumentCode
    3663609
  • Title

    Application of the Rayleigh-Ritz method to solve a class of fractional variational problem

  • Author

    Tomasz Blaszczyk

  • Author_Institution
    Czestochowa University of Technology, Institute of Mathematics, al. Armii Krajowej 21, 42-201 Czestochowa, Poland
  • fYear
    2015
  • Firstpage
    83
  • Lastpage
    86
  • Abstract
    The aim of this paper is to investigate a direct numerical method for solving a class of a fractional variational problem (FVP). The fractional derivative in the FVP is in the Caputo sense. The Rayleigh-Ritz method is introduced for the numerical solution of the FVP. The corresponding Euler-Lagrange equation contain the left and right Caputo fractional derivatives. We approximate the solution of the FVP by using the trigonometric function. Finally, the illustrative example is presented.
  • Keywords
    "Differential equations","Fractional calculus","Oscillators","Numerical models","Integral equations"
  • Publisher
    ieee
  • Conference_Titel
    Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on
  • Type

    conf

  • DOI
    10.1109/MMAR.2015.7283711
  • Filename
    7283711
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3663609