Editing Fractional-order integrator (section)

== 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 [[Round-off error|error due to round-off]], as in the case of digital devices, but there may be error in the device due to [[Leakage (electronics)|leakage]]s, 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

:<math>q = -\frac{1}{2},</math>

can be constructed.