The numerical solution of linear multi-term fractional differential equations: systems of equations
Journal of Computational and Applied Mathematics
Fractional-order system identification based on continuous order-distributions
Signal Processing - Special issue: Fractional signal processing and applications
Brief paper: Synthesis of fractional Laguerre basis for system approximation
Automatica (Journal of IFAC)
A fractional differential equation for a MEMS viscometer used in the oil industry
Journal of Computational and Applied Mathematics
Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Fractional differential equations in electrochemistry
Advances in Engineering Software
A fractional-order differential equation model of HIV infection of CD4+ T-cells
Mathematical and Computer Modelling: An International Journal
Technical communique: On type number concept in fractional-order systems
Automatica (Journal of IFAC)
Non-existence of finite-time stable equilibria in fractional-order nonlinear systems
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
In this paper, it is shown that the fractional-order derivatives of a periodic function with a specific period cannot be a periodic function with the same period. The fractional-order derivative considered here can be obtained based on each of the well-known definitions Grunwald-Letnikov definition, Riemann-Liouville definition and Caputo definition. This concluded point confirms the result of a recently published work proving the non-existence of periodic solutions in a class of fractional-order models. Also, based on this point it can be easily proved the absence of periodic responses in a wider class of fractional-order models. Finally, some examples are presented to show the applicability of the paper achievements in the solution analysis of fractional-order systems.