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.
|Number of pages||7|
|Journal||Communications In Nonlinear Science And Numerical Simulation|
|Publication status||Published - Dec 2012|
- Unified fractional derivative
- Generalised fractional difference
- Central derivatives