Which differintegration?

Ortigueira, M. D.; Machado, J. A. Tenreiro; Costa, J. S.

http://hdl.handle.net/10400.22/4656

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Authors

Ortigueira, M. D.

Machado, J. A. Tenreiro

Costa, J. S.

Abstract(s)

Despite the great advances in the theory and applications of fractional calculus, some topics remain unclear, making a systematic use difficult. In this paper, the fractional differintegration definition problem is studied from a systems point of view. Both local (Grunwald-Letnikov) and global (convolutional) definitions are considered. It is shown that the Cauchy formulation should be adopted since it is coherent with usual practice in signal processing and control applications.