Fractional-Order PII1/2DD1/2 Control: Theoretical Aspects and Application to a Mechatronic Axis
Fractional Calculus is usually applied to control systems by means of the well-known PIλDμ scheme, which adopts integral and derivative components of non-integer orders λ and µ. An alternative approach is to add equally distributed fractional-order terms
Luca Bruzzone +2 more
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The Ordered Distribute Constraint [PDF]
In this paper we introduce a new cardinality constraint: Ordered Distribute. Given a set of variables, this constraint limits for each value v the number of times v or any value greater than v is taken. It extends the global cardinality constraint, that constrains only the number of times a value v is taken by a set of variables and does not consider ...
Petit, Thierry, Régin, Jean-Charles
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Construction a distributed order smoking model and its nonstandard finite difference discretization
Smoking is currently one of the most important health problems in the world and increases the risk of developing diseases. For these reasons, it is important to determine the effects of smoking on humans.
M. Kocabıyık, M. Y. Ongun
semanticscholar +1 more source
Time-fractional telegraph equation of distributed order in higher dimensions
In this paper, we consider the time-fractional telegraph equation of distributed order in higher spatial dimensions, where the time derivative is in the sense of Hilfer, thus interpolating between the Riemann-Liouville and the Caputo fractional ...
N. Vieira, M. M. Rodrigues, M. Ferreira
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Quasi-Projective Synchronization of Distributed-Order Recurrent Neural Networks
In this paper, the quasi-projective synchronization of distributed-order recurrent neural networks is investigated. Firstly, based on the definition of the distributed-order derivative and metric space theory, two distributed-order differential ...
Xiao Liu +3 more
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MAPbBr3 First‐Order Distributed Feedback Laser with High Stability
A green‐emitting perovskite first‐order distributed feedback (DFB) laser based on the methylammonium lead bromide (MAPbBr3) with high stability is demonstrated for the first time.
Cheng Chang +3 more
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Stability Analysis of the Nabla Distributed-Order Nonlinear Systems
The stability of the nabla discrete distributed-order nonlinear dynamic systems is investigated in this paper. Firstly, a sufficient condition for the asymptotic stability of the nabla discrete distributed-order nonlinear systems is proposed based on ...
Cuihong Wang, Tianfen Zhu, Yangquan Chen
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Diffusion with space memory modelled with distributed order space fractional differential equations
Distributed order fractional differential equations (Caputo, 1995, 2001; Bagley and Torvik, 2000a,b) were fi rst used in the time domain; they are here considered in the space domain and introduced in the constitutive equation of diffusion.
M. Caputo
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Conditionally Ordered Distributions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Block, Henry W., Sampson, Allan R.
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The Kernel of the Distributed Order Fractional Derivatives with an Application to Complex Materials
The extension of the fractional order derivative to the distributed order fractional derivative (DOFD) is somewhat simple from a formal point of view, but it does not yet have a simple, obvious analytic form that allows its fast numerical calculation ...
Michele Caputo, Mauro Fabrizio
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