Aim of this paper is to represent a causal filter equation for any kind of linear system in the general form L=f(t), where f(t) is the forcing function, x(t) is the output and L is a summation of fractional operators. The exact form of the operator L is obtained by using Mellin transform in complex plane.
G. Alotta, M.P. (2014). Filter equation by fractional calculus. In Proceedings of the 7th Computational Stochastic Mechanics Conference.
Filter equation by fractional calculus
G. Alotta;M. Di Paola
2014-01-01
Abstract
Aim of this paper is to represent a causal filter equation for any kind of linear system in the general form L=f(t), where f(t) is the forcing function, x(t) is the output and L is a summation of fractional operators. The exact form of the operator L is obtained by using Mellin transform in complex plane.
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