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Integer/fractional decomposition of the impulse response of fractional linear systems

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The 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.

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Fractional linear systems Impulse response Mittag-Leffler function Discrete differential system

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Elsevier

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