  The paper presents derivation and interpretation of one type of variable
order derivative definitions. For mathematical modelling of considering
definition the switching and numerical scheme is given. The paper also
introduces a numerical scheme for a variable order derivatives based on matrix
approach. Using this approach, the identity of the switching scheme and
considered definition is derived. The switching scheme can be used as an
interpretation of this type of definition. Paper presents also numerical
examples for introduced methods. Finally, the idea and results of analog
(electrical) realization of the switching fractional order integrator (of
orders 0.5 and 1) are presented and compared with numerical approach.
