A Solution to the Fundamental Linear Fractional Order Differential Equation
نویسندگان
چکیده
منابع مشابه
A solution to the fundamental linear fractional order differential equation.
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 induct...
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ژورنال
عنوان ژورنال: Critical Reviews™ in Biomedical Engineering
سال: 2008
ISSN: 0278-940X
DOI: 10.1615/critrevbiomedeng.v36.i1.30