Considerations about the choice of a differintegrator

Abstract

Despite the great advances in the theory and applications of fractional calculus, some topics remain unclear making difficult its use in a systematic way. This paper studies the fractional difierintegration definition problem from a systems point of view. Both local (GrunwaldLetnikov) and global (convolutional) definitions are considered. It is shown that the Cauchy formulation must be adopted since it is coherent with usual practice in signal processing and control applications ..