Results 11 to 20 of about 22,214 (260)
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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Fractal and Fractional, 2022 A finite element scheme for solving a two-timescale Hadamard time-fractional equation is discussed. We prove the error estimate without assuming the smoothness of the solution. In order to invert the fractional order, a finite-element Levenberg–Marquardt
Shijing Cheng +3 more
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Realization of Fractional Order Elements [PDF]
INAE Letters, 2017 Fractional order (FO) element (FOE) is the building block for realization of FO systems, an important research domain. However, the realization of FO system is still a challenge. Till date, no FOE or fractor is available in the market. However, many researchers have developed various types of FOE, multi-component and single component, over past 50 ...
Avishek Adhikary +3 more
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Numerical Solution of Fractional Elliptic Problems with Inhomogeneous Boundary Conditions
Fractal and Fractional, 2021 The numerical solution of fractional-order elliptic problems is investigated in bounded domains. According to real-life situations, we assumed inhomogeneous boundary terms, while the underlying equations contain the full-space fractional Laplacian ...
Gábor Maros, Ferenc Izsák
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Assessment of Fractional-Order Arterial Windkessel as a Model of Aortic Input Impedance
IEEE Open Journal of Engineering in Medicine and Biology, 2020 Goal: Fractional-order Windkessel model is proposed to describe the aortic input impedance. Compared with the conventional arterial Windkessel, the main advantage of the proposed model is the consideration of the viscoelastic nature of the arterial wall ...
Mohamed A. Bahloul +1 more
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Electronically Adjustable Emulator of the Fractional-Order Capacitor
Elektronika ir Elektrotechnika, 2019 This paper presents a design of the controllable emulator of the FOC (Fractional-Order Capacitor) and its application. The circuit is based on 5th-order RC topology (type Foster I), where the passive elements in the topology are replaced by ...
Jan Dvorak +4 more
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IEEE Access, 2016 Here and in the companion paper (Part II), a novel conceptual framework on the measurement units and physical dimensions of fractance and rules for fractors in series and parallel is mainly discussed.
Yi-Fei Pu
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Splitting spectral element method for fractional reaction-diffusion equations
Journal of Algorithms & Computational Technology, 2020 In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
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Leapfrog/Finite Element Method for Fractional Diffusion Equation
The Scientific World Journal, 2014 We analyze a fully discrete leapfrog/Galerkin finite element method for the numerical solution of the space fractional order (fractional for simplicity) diffusion equation.
Zhengang Zhao, Yunying Zheng
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Analogue Realization of Fractional-Order Dynamical Systems
Entropy, 2013 As it results from many research works, the majority of real dynamical objects are fractional-order systems, although in some types of systems the order is very close to integer order.
Ladislav Pivka +5 more
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