In this paper, we introduce three versions of fractional-order chaotic (or hyperchaotic)
complex Duffing-van der Pol models. The dynamics of these models including their fixed
points and their stability are investigated. Using the predictor-corrector method and Lyapunov
exponents we calculate numerically the intervals of their parameters at which chaotic,
hyperchaotic solutions and solutions that approach fixed points to exist. These
models appear in several applications in physics and engineering, e.g., viscoelastic beam
and electronic circuits. The electronic circuits of these models with different fractionalorder
are proposed. We determine the approximate transfer functions for novel values of
fractional-order and find the equivalent tree shape model (TSM). This TSM is used to
build circuits simulations of our models. A good agreement is found between both numerical
and simulations results. Other circuits diagrams can be similarly designed for other
fractional-order models.