A unified approach to fractional derivatives

Manuel Duarte Ortigueira, Juan J. Trujillo

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


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 languageEnglish
Pages (from-to)5151-5157
Number of pages7
JournalCommunications In Nonlinear Science And Numerical Simulation
Issue number12
Publication statusPublished - Dec 2012


  • Grüwald–Letnikov
  • Unified fractional derivative
  • Generalised fractional difference
  • Central derivatives


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