Analog Devices
Analog devices have the ability to retain history over longer intervals. This translates into the parameter a staying constant, while t increases.
There is no error due to round-off, as in the case of digital devices, but there may be error in the device due to leakages, and also unexpected variations in behavior caused by heat and noise.
An example fractional-order integrator is a modification of the standard integrator circuit, where a capacitor is used as the feedback impedance on an opamp. By replacing the capacitor with an RC Ladder circuit, a half order integrator, that is, with
can be constructed.
Read more about this topic: Fractional-order Integrator
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