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.
Original language | English |
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Pages (from-to) | 5151-5157 |
Number of pages | 7 |
Journal | Communications In Nonlinear Science And Numerical Simulation |
Volume | 17 |
Issue number | 12 |
DOIs | |
Publication status | Published - Dec 2012 |
Keywords
- Grüwald–Letnikov
- Unified fractional derivative
- Generalised fractional difference
- Central derivatives