A unified approach to fractional derivatives

作者：Ortigueira Manuel D^*; Trujillo Juan J

来源：Communications in Nonlinear Science & Numerical Simulation, 2012, 17(12): 5151-5157.

DOI：10.1016/j.cnsns.2012.04.021

• Gruwald-Letnikov
• Unified fractional derivative
• Generalised fractional difference
• Central derivatives

A new fractional derivative of the Gruwald-Letnikov type is proposed and some properties are studied. The new definition incorporates both the forward and backward Gruwald-Letnikov and the two-sided fractional derivatives. Several properties of such generalized operator are presented, and some particular cases deduced.

• 出版日期2012-12