Results 211 to 220 of about 97,065 (260)

New adaptive memory stochastic fractional operators and their applications in computational intelligence. [PDF]

Sci Rep
Khan TU, Al-Juaid BS, Markarian C.
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Exact and numerical optical soliton solutions of the fractional quadratic-cubic nonlinear Schrödinger equation in conformable derivative framework. [PDF]

Sci Rep
Amer A, Jaradat EK, Rehman HU, Yildirim Y, Abu Alrub S, Ateto MS.   +5 more
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Initialization in fractional order systems

2001 European Control Conference (ECC), 2001
This paper proves the requirement of a time-varying initialization for fractional differential equations. This then requires a new definition for the fractional differintegral that includes the initialization and a new form of the Laplace transform of the fractional differintegral. An initialized fractional system theory is developed.
Carl F. Lorenzo, Tom T. Hartley
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Variable order fractional systems

Communications in Nonlinear Science and Numerical Simulation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Duarte Ortigueira, Duarte Valério, J. Tenreiro Machado   +2 more
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Fractional-order memristive systems

2009 IEEE Conference on Emerging Technologies & Factory Automation, 2009
This paper deals with the concept of (integer-order) memristive systems, which are generalized to non-integer order case using fractional calculus. We consider the memory effect of the fractional inductor (fractductor), fractional capacitor and fractional memristor.
Ivo Petrás, Yangquan Chen, Calvin Coopmans   +2 more
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ON STABILITY OF COMMENSURATE FRACTIONAL ORDER SYSTEMS

International Journal of Bifurcation and Chaos, 2012
This paper proposes a new proof of the Matignon's stability theorem. This theorem is the starting point of numerous results in the field of fractional order systems. However, in the original work, its proof is limited to a fractional order ν such that 0 < ν < 1.
Jocelyn Sabatier, Christophe Farges
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Chaos in a fractional-order cancer system

2014 European Control Conference (ECC), 2014
This paper deals with the fractional-order cancer system. It is based on the chaotic system concept, where the mathematical model of system contains fractional-order derivatives. We develop a fractional-order dynamical model of cancer growth, which includes the interactions between healthy tissue cells, tumor cells, and activated immune system cells ...
Ibrahima N'Doye, Holger Voos, Mohamed Darouach   +2 more
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HYPERCHAOS IN THE FRACTIONAL-ORDER RÖSSLER SYSTEM WITH LOWEST-ORDER

International Journal of Bifurcation and Chaos, 2009
This Letter analyzes the hyperchaotic dynamics of the fractional-order Rössler system from a time-domain point of view. The approach exploits the Adomian decomposition method (ADM), which generates series solution of the fractional differential equations.
CAFAGNA, DONATO, GRASSI, Giuseppe
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Stabilization of fractional-order unstable delay systems by fractional-order controllers

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 2012
In the present paper stabilization of a class of fractional-order unstable delay systems by fractional-order controllers is investigated. To derive the sufficient conditions for stability, an analysis based on the Nyquist stability criterion has been adopted.
Iraj Kheirizad, Ali Akbar Jalali 0001, Khosro Khandani   +2 more
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Designing of Fractional Order PID Controller for Unstable Fractional Order System

2019 Joint International Conference on Digital Arts, Media and Technology with ECTI Northern Section Conference on Electrical, Electronics, Computer and Telecommunications Engineering (ECTI DAMT-NCON), 2019
This paper proposes the fractional-order proportional-integral-derivative (FOPID or $\mathbf { P } \mathbf { I } ^ { \lambda } \mathbf { D } ^ { \mu }$) controller design optimization for a stable fractional order (FO) system by using the flower pollination algorithm (FPA), one of the most efficient metaheuristic optimization search techniques.
Boonruk Chipipop, Deacha Puangdownreong
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