Ortigueira, Manuel D.Machado, J. A. TenreiroRivero, MargaritaTrujillo, Juan J.2015-11-192015-11-192015http://hdl.handle.net/10400.22/6944The decomposition of a fractional linear system is discussed in this paper. It is shown that it can be decomposed into an integer order part, corresponding to possible existing poles, and a fractional part. The first and second parts are responsible for the short and long memory behaviors of the system, respectively, known as characteristic of fractional systems.engFractional linear systemsImpulse responseMittag-Leffler functionDiscrete differential systemjournal article10.1016/j.sigpro.2015.02.014