• Title of article

    A unified approach to fractional derivatives

  • Author/Authors

    Ortigueira، نويسنده , , Manuel D. and Trujillo، نويسنده , , Juan J.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2012
  • Pages
    7
  • From page
    5151
  • To page
    5157
  • Abstract
    A new fractional derivative of the Grüwald–Letnikov type is proposed and some properties are studied. The new definition incorporates both the forward and backward Grüwald–Letnikov and the two-sided fractional derivatives. Several properties of such generalized operator are presented, and some particular cases deduced.
  • Keywords
    Grüwald–Letnikov , Unified fractional derivative , Generalised fractional difference , Central derivatives
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Serial Year
    2012
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Record number

    1537528