The computation of the Mittag-Leffler (ML) function with matrix arguments, and some
applications in fractional calculus, are discussed. In general the evaluation of a scalar …

In the paper, a fractional-order RLC circuit is presented. The circuit is realized by using a
fractional-order capacitor. This is realized by using carbon black dispersed in a polymeric …

In this paper, classical and non-integer model order reduction methodologies are compared.
Non integer order calculus has been used to generalize many classical control strategies …

The automotive industry continuously spends resources to reduce fuel consumption,
operating costs, and harmful emissions. Namely, regulations are becoming more restrictive …

Performance of internal combustion engines is strictly affected by the metering of the air/fuel
mixture. Achieving accuracy in metering is difficult due to the complex fluid-dynamics of the …

The present paper proposes a framework for the systematic and fruitful application of
complex-order operators for modeling and control applications. We emphasize that special …

In the current study, the theory of fractional calculus is applied to the electric parallel RLC
circuit. The aim of this article is to alter the concept of a parallel RLC circuit by applying …

This paper concerns fuel injection control of compressed natural gas engines. The main
operating conditions are considered and for each one a fractional-order PI controller is …

Modelling and control of the injection process in common rail Diesel engines has attracted
the interest of many researches also in recent years. This paper adds a new contribution for …

In this paper, a fractional order representation and the related hardware realization of the
Duffing system are presented. The considered system can be defined as the general case of …