Results 11 to 20 of about 173,800 (157)

Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2014
In this paper, the synchronization of fractional-order chaotic systems is studied and a new fractional-order controller for hyperchaos synchronization is presented based on the Lyapunov stability theory. The proposed synchronized method can be applied to
Tianzeng Li, Yu Wang, Yong Yang
doaj   +3 more sources

Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems [PDF]

open access: yesAdvances in Mathematical Physics, 2018
Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated.
Chenhui Wang
doaj   +3 more sources

Fractional Order Difference Equations [PDF]

open access: yesInternational Journal of Differential Equations, 2012
A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with
J. Jagan Mohan, G. V. S. R. Deekshitulu
doaj   +4 more sources

Differences of fractional order [PDF]

open access: yesMathematics of Computation, 1974
Derivatives of fractional order, D α f {D^\alpha }f , have been considered extensively in the literature. However, little attention seems to have been given to finite differences of fractional order, Δ α f
Diaz, J. B., Osler, T. J.
openaire   +2 more sources

Fractional‐order backstepping strategy for fractional‐order model of COVID‐19 outbreak [PDF]

open access: yesMathematical Methods in the Applied Sciences, 2021
The coronavirus disease (COVID‐19) pandemic has impacted many nations around the world. Recently, new variant of this virus has been identified that have a much higher rate of transmission. Although vaccine production and distribution are currently underway, non‐pharmacological interventions are still being implemented as an important and fundamental ...
Amir Veisi, Hadi Delavari
openaire   +3 more sources

Fractional order modelling of fractional-order holds [PDF]

open access: yesNonlinear Dynamics, 2012
Discrete time control systems require sample-and-hold circuits to perform the conversion from digital to analog. Fractional-Order Holds (FROHs) are an interpolation between the classical zero and first order holds and can be tuned to produce better system performance.
openaire   +2 more sources

Fractional Order Systems [PDF]

open access: yesSecond IEEE International Conference on Computational Cybernetics, 2004. ICCC 2004., 2022
CAPONETTO, Riccardo   +3 more
  +9 more sources

Impulsive fractional order integrodifferential equation via fractional operators.

open access: yesPLoS ONE, 2023
In this paper, we establish the existence and uniqueness of the solution to fractional equations abstract integrodifferential equation with impulsive as [Formula: see text] where [Formula: see text] and we used the fixed point theorems due to Banach ...
Ahmad Al-Omari, Hanan Al-Saadi
doaj   +1 more source

Fractional order differentiation by integration with Jacobi polynomials [PDF]

open access: yes, 2012
The differentiation by integration method with Jacobi polynomials was originally introduced by Mboup, Join and Fliess. This paper generalizes this method from the integer order to the fractional order for estimating the fractional order derivatives of ...
Gibaru, Olivier   +3 more
core   +4 more sources

Mixed Order Fractional Observers for Minimal Realizations of Linear Time-Invariant Systems

open access: yesAlgorithms, 2018
Adaptive and non-adaptive minimal realization (MR) fractional order observers (FOO) for linear time-invariant systems (LTIS) of a possibly different derivation order (mixed order observers, MOO) are studied in this paper.
Manuel A. Duarte-Mermoud   +3 more
doaj   +1 more source

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