Results 241 to 250 of about 13,322,968 (309)

Complex-Order Distributions

Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2005
This paper develops the concept of the complex order-distribution. This is a continuum of fractional differintegrals whose order is complex. Two types of complex order-distributions are considered, uniformly distributed and Gaussian distributed. It is shown that these basis distributions can be summed to approximate other complex order-distributions ...
Tom T. Hartley, Jay L. Adams, Carl F. Lorenzo   +2 more
openaire   +1 more source

On fractional and distributed order hyperchaotic systems with line and parabola of equilibrium points and their synchronization

Physica Scripta, 2021
In this article, we introduced fractional and distributed order hyperchaotic Lü, Chen and Lorenz systems with both line and parabola of equilibrium points (EPs).
G. Mahmoud, T. Abed-Elhameed, H. Khalaf
semanticscholar   +1 more source

The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications

International Journal of Computational Mathematics, 2021
In this paper, the properties of Chebyshev polynomials and the Gauss–Legendre quadrature rule are employed to construct a new operational matrix of distributed-order fractional derivative. This operational matrix is applied for solving some problems such
M. Pourbabaee, A. Saadatmandi
semanticscholar   +1 more source

Ordering distributions by scaled order statistics

Zeitschrift f�r Operations Research, 1987
Motivated by applications in reliability theory, we define a preordering \((X_ 1,...,X_ n)\lesssim^{(k)}(Y_ 1,...,Y_ n)\) of nonnegative random vectors by requiring the k-th order statistic of \(a_ 1X_ 1,...,a_ nX_ n\) to be stochastically smaller than the k-th order statistic of \(a_ 1Y_ 1,...,a_ nY_ n\) for all choices of \(a_ i>0\), \(i=1,2,...,n\).
SCARSINI, MARCO, M. Shaked
openaire   +2 more sources

Identification of Complex Order-distributions

Journal of Vibration and Control, 2008
This article discusses the identification of fractional systems using the concepts of complex order distribution. Based on the ability to define systems using complex order-distributions, it is shown that system identification in the frequency domain using a least-squares approach can be performed.
Adams, J. L., Hartley, T. T., Lorenzo, C. F.   +2 more
openaire   +1 more source

FRACTIONAL RELAXATION OF DISTRIBUTED ORDER

Complexus Mundi, 2006
The first-order differential equation of exponential relaxation can be generalized by replacing the time-derivative by a fractional derivative of Caputo type, more generally by an integral over such fractional derivatives, the order of differentiation being the variable of integration.
R. Gorenflo, MAINARDI, FRANCESCO
openaire   +2 more sources

Flow and heat transfer of generalized Maxwell fluid over a moving plate with distributed order time fractional constitutive models

, 2020
The incompressible, steady and laminar fluid boundary flow and heat transfer through a moving plate subject to a kind of novel constitution relationships containing the relaxation time parameters and distributed order time fractional operators are ...
Lin Liu, Libo Feng, Qian Xu, Liancun Zheng, Fawang Liu   +4 more
semanticscholar   +1 more source

Distributed-Order Filtering and Distributed-Order Optimal Damping

2012
The idea of using the distributed-order differential equation first proposed by Caputo in (1969) is at least mathematically interesting as demonstrated in the previous chapters. However, people may question its usefulness in engineering practice. In this chapter, we included two generic applications.
Zhuang Jiao, YangQuan Chen, Igor Podlubny   +2 more
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Multivariate distributions of order κ

Statistics & Probability Letters, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Philippou, Andreas N., Antzoulakos, Demetris L., Tripsiannis, Gregory A.   +2 more
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Multivariate equilibrium distributions of order

Statistics & Probability Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nair, N. Unnikrishnan, Preeth, M.
openaire   +1 more source