A recursive two-circuits series analog fractance circuit for any order fractional calculus

Abstract

The paper analyzes the fractional calculus's Caputo definition in time domain and Fourier transform's definition in frequency domain, then puts forward and discusses a 1/2order two-circuits series analog fractance circuit. On this bases, we further put forward and discusses a general recursive two-circuits series analog fractance circuit for any order fractional calculus. It is proved to performance correctly and efficiently by Computer simulation and circuit analog. At the same time, we probes the theoretical and engineering problems that need to be deeply researched in the area of the applications of fractional calculus to communication and information processing. The result educing by the paper is the basis for further theoretic research and engineering implement for structuring fractance circuit of any order fractional calculus.