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Fractional order differentiation by integration with Jacobi polynomials [PDF]
, 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
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Fractional Order Compartment Models
SIAM Journal on Applied Mathematics, 2017 This paper is an interesting application of fractional order systems. Compartment models are well known and well studied in the literature. To describe the time evolution of a system undergoing reactions between populations in different compartments, often compartment models are used. These are set of differential equations coupled together.
Angstmann, CN +5 more
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Fractional-order autonomous circuits with order larger than one
Journal of Advanced Research, 2020 Fractional-order circuit is a kind of circuit which contains fractional-order elements. It has been proved that the fractional-order circuit has some characteristics which are hard to be achieved by integer-order circuits, such as higher degree of ...
Yanwei Jiang +3 more
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Fractional order electromagnetics [PDF]
Signal Processing, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Machado, J. A. Tenreiro +3 more
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Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions [PDF]
, 2020 Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model.
Izsák, Ferenc, Maros, Gábor
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Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2019 In this paper, a novel conformable fractional order (FO) sliding mode control technique is studied for a class of FO chaotic systems in the presence of uncertainties and disturbances.
Sara Haghighatnia +2 more
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Fractional-Order Traveling Wave Approximations for a Fractional-Order Neural Field Model
Frontiers in Computational Neuroscience, 2022 In this work, we establish a fractional-order neural field mathematical model with Caputo's fractional derivative temporal order α considering 0 < α < 2, to analyze the effect of fractional-order on cortical wave features observed preceding seizure
Laura R. González-Ramírez
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IEEE Access, 2016 This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order extremum method. In particular, the reverse incremental optimal search
Yi-Fei Pu
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Fractional-Order LQR and State Observer for a Fractional-Order Vibratory System
Applied Sciences, 2021 The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by a fractional-order differential equation. First, as an example of such a vibratory system, a viscoelastically damped structure is selected.
Akihiro Takeshita +3 more
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Continuous dependence for NLS in fractional order spaces [PDF]
, 2010 We consider the Cauchy problem for the nonlinear Schr\"odinger equation $iu_t+ \Delta u+ \lambda |u|^\alpha u=0$ in $\R^N $, in the $H^s$-subcritical and critical cases ...
Cazenave, Thierry +2 more
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