Which differintegration? [fractional calculus] |
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Authors: | Ortigueira M.D. Machado J.A.T. da Costa J.S. |
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Affiliation: | Faculdade de Ciencias e Tecnologia, UNINOVA, Monte Da Caparica, Portugal; |
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Abstract: | 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. |
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