Results 11 to 20 of about 179,364 (266)
A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative [PDF]
Scientific ReportsThe Pehlivan chaotic system, introduced by Ibrahim Pehlivan and Yilmaz Uyaroglu, is a three-dimensional autonomous chaotic model with rich dynamical properties.
R. Vinoth, M. Jayalakshmi
doaj +2 more sources
On Passivity of Fractional Order Systems [PDF]
SIAM Journal on Control and Optimization, 2019 We generalize notions of passivity and dissipativity to fractional order systems. Similar to integer order systems, we show that the proposed definitions generate analogous stability and compositionality properties for fractional order systems as well.
Mohsen Rakhshan +2 more
openaire +2 more sources
Fractional interval observers and initialization of fractional systems
Communications in Nonlinear Science and Numerical Simulation, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghazi Bel Haj Frej +3 more
openaire +4 more sources
Stability of Fractional Order Systems [PDF]
Mathematical Problems in Engineering, 2013 The theory and applications of fractional calculus (FC) had a considerable progress during the last years. Dynamical systems and control are one of the most active areas, and several authors focused on the stability of fractional order systems. Nevertheless, due to the multitude of efforts in a short period of time, contributions are scattered along ...
Rivero, Margarita +3 more
openaire +3 more sources
Analysis of Fractional Dynamic Systems [PDF]
The Scientific World Journal, 2014 Due to the extensive applications of fractional differential equations (FDEs) in engineering and science, research in this area has grown significantly. Fractional Dynamic Systems are described by FDEs, and this special issue consists of 8 original articles covering various aspects of FDEs and their applications written by prominent researchers in the ...
Fawang Liu +4 more
openaire +3 more sources
Fractional descriptor continuous–time linear systems described by the Caputo–Fabrizio derivative
International Journal of Applied Mathematics and Computer Science, 2016 The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative.
Kaczorek Tadeusz, Borawski Kamil
doaj +1 more source
Reachability of standard and fractional continuous-time systems with constant inputs
Archives of Control Sciences, 2016 The reachability of standard and fractional-order continuous-time systems with constant inputs is addressed. Positive and non-positive continuous-time linear systems are considered.
Rogowski Krzysztof
doaj +1 more source
Fractional-Parabolic Systems [PDF]
Potential Analysis, 2011 We develop a theory of the Cauchy problem for linear evolution systems of partial differential equations with the Caputo-Dzrbashyan fractional derivative in the time variable $t$. The class of systems considered in the paper is a fractional extension of the class of systems of the first order in $t$ satisfying the uniform strong parabolicity condition.
openaire +2 more sources
Fractional Time–Invariant Compartmental Linear Systems
International Journal of Applied Mathematics and Computer Science, 2023 Fractional time-invariant compartmental linear systems are introduced. Controllability and observability of these systems are analyzed. The eigenvalue assignment problem of compartmental linear systems is considered and illustrated with a numerical ...
Kaczorek Tadeusz
doaj +1 more source
International Journal of Applied Mathematics and Computer Science, 2018 In the last two decades, fractional calculus has become a subject of great interest in various areas of physics, biology, economics and other sciences. The idea of such a generalization was mentioned by Leibniz and L’Hospital.
Markowski Konrad Andrzej
doaj +1 more source