Results 21 to 30 of about 21,639 (263)
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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Equivalent diagrams of fractional order elements
Archives of Control Sciences, 2023 Summary: This paper presents equivalent impedance and operator admittance systems for fractional order elements. Presented models of fractional order elements of the type: \(s^\alpha L_\alpha\) and \(1/s^\alpha C_\alpha\), \((0\alpha 1)\) were obtained using the Laplace transform based on the expansion of the factor sign to an infinite fraction with ...
Sebastian Różowicz +2 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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Three-Element Fractional-Order Viscoelastic Arterial Windkessel Model [PDF]
2018 40th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2018 Arterial hemodynamic assessment has always been essential for clinical Cardiovascular System (CVS) diagnosis. Using Windkessel (WK) lumped parametric model as non-invasive measurement tool provides the potential of achieving a very convenient, computational inexpensive and accurate prediction of the arterial parameters.
Mohamed A, Bahloul +1 more
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Hermite Finite Element Method for Time Fractional Order Damping Beam Vibration Problem
Fractal and Fractional, 2023 In this paper, the vibration problem of a beam with a time fractional damping term is studied by the Hermite finite element method, and its fully discrete scheme is obtained.
Xinxin Sun +3 more
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History and Progress of Fractional-Order Element Passive Emulators: A Review [PDF]
Radioengineering, 2020 This paper presents a state-of-the-art survey in the area of fractional-order element passive emulators adopted in circuits and systems. An overview of the different approximations used to estimate the passive element values by means of rational ...
A. Kartci +3 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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