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生物医学工程评论综述™

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ISSN 打印: 0278-940X

ISSN 在线: 1943-619X

SJR: 0.262 SNIP: 0.372 CiteScore™:: 2.2 H-Index: 56

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A Solution to the Fundamental Linear Fractional Order Differential Equation

卷 36, 册 1, 2008, pp. 23-38
DOI: 10.1615/CritRevBiomedEng.v36.i1.30
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摘要

This paper provides a solution to the fundamental linear fractional order differential equation, namely, cdtqx(t) + ax(t) = bu(t). The impulse response solution is shown to be a series, named the F-function, which generalizes the normal exponential function. The F-function provides the basis for a qth order "fractional pole". Complex plane behavior is elucidated and a simple example, the inductor terminated semi-infinite lossy line, is used to demonstrate the theory.

对本文的引用
  1. Lopes Vitor V., Rangel Carmen M., Novais Augusto Q., Fractional-order transfer functions applied to the modeling of hydrogen PEM fuel cells, in 21st European Symposium on Computer Aided Process Engineering, 29, 2011. Crossref

  2. KABRA SEEMA, NAGAR HARISH, INTEGRAL TRANSFORM OF K4-FUNCTION, Journal of Science and Arts, 21, 2, 2021. Crossref

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