每年出版 6 期
ISSN 打印: 0278-940X
ISSN 在线: 1943-619X
Indexed in
A Solution to the Fundamental Linear Fractional Order Differential Equation
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.
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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
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KABRA SEEMA, NAGAR HARISH, INTEGRAL TRANSFORM OF K4-FUNCTION, Journal of Science and Arts, 21, 2, 2021. Crossref