none3siIn this paper we study vibrations of fractional oscillators by two methods: the triangular strip matrix approach, based on the Grunwald-Letnikov discretization of the fractional term, and the state variable analysis, which is suitable for systems with fractional derivatives of rational order. Some examples are solved in order to compare the two approaches and to conduct comparison with benchmark problems.noneValentina, Ciaschetti; Isaac, Elishakoff; Alessandro, MarzaniValentina, Ciaschetti; Isaac, Elishakoff; Alessandro, Marzan
This article addresses three classes of fractional oscillators named Class I, II and III. It is know...
WOS: 000487075500027Although the significance of the vibration equation has recently attracted the r...
We considered forced harmonic vibration systems with the Liouville–Weyl fractional derivative where ...
In this paper we study vibrations of fractional oscillators by two methods: the triangular strip mat...
Fractional derivative is increasingly being deployed to improve existing mathematical models due to ...
The dynamic behavior of linear and nonlinear mechanical oscillators with constitutive equations invo...
A theory of free vibrations of discrete fractional order (FO) systems with a finite number of degree...
In this paper vibrating continuous linear systems with generalized damping distributions defined acc...
Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of...
The prediction of oscillators is usually employed in various industrial and technological problems; ...
Dynamic characterizations of fractional vibration systems have recently attracted significant resear...
The notion of fractional dynamics is related to equations of motion with one or a few terms with der...
We conduct a detailed study and comparison for the one-degree-of-freedom steady-state vibrations und...
In this paper, we investigate the solution of the fractional vibration equation, where the damping t...
Both time- and frequency-domain solution techniques are developed for determining the response of li...
This article addresses three classes of fractional oscillators named Class I, II and III. It is know...
WOS: 000487075500027Although the significance of the vibration equation has recently attracted the r...
We considered forced harmonic vibration systems with the Liouville–Weyl fractional derivative where ...
In this paper we study vibrations of fractional oscillators by two methods: the triangular strip mat...
Fractional derivative is increasingly being deployed to improve existing mathematical models due to ...
The dynamic behavior of linear and nonlinear mechanical oscillators with constitutive equations invo...
A theory of free vibrations of discrete fractional order (FO) systems with a finite number of degree...
In this paper vibrating continuous linear systems with generalized damping distributions defined acc...
Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of...
The prediction of oscillators is usually employed in various industrial and technological problems; ...
Dynamic characterizations of fractional vibration systems have recently attracted significant resear...
The notion of fractional dynamics is related to equations of motion with one or a few terms with der...
We conduct a detailed study and comparison for the one-degree-of-freedom steady-state vibrations und...
In this paper, we investigate the solution of the fractional vibration equation, where the damping t...
Both time- and frequency-domain solution techniques are developed for determining the response of li...
This article addresses three classes of fractional oscillators named Class I, II and III. It is know...
WOS: 000487075500027Although the significance of the vibration equation has recently attracted the r...
We considered forced harmonic vibration systems with the Liouville–Weyl fractional derivative where ...