Abstract: This paper considers the energy aspects of fractionalorder elements defined by the equation: force is proportional to the fractionalorder derivative of displacement, with order varying from zero to two. In contrast to the ...

Abstract: As fractionalorder systems are becoming more widely accepted and their usage is increasing, it is important to understand their energy storage and loss properties. Fractionalorder operators can be implemented using a ...

Abstract: Proper initialization of fractionalorder operators has been an ongoing problem, particularly in the application of Laplace transforms with correct initialization terms. In the last few years, a historyfunctionbased ...