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
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
Journal title :
Communications in Nonlinear Science and Numerical Simulation
