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On Systematic Design of Fractional-Order Element Series [PDF]
Sensors, 2021 In this paper a concept for the efficient design of a series of floating fractional-order elements (FOEs) is proposed. Using even single or a very limited number of so-called “seed” FOEs it is possible to obtain a wide set of new FOEs featuring ...
Jaroslav Koton +3 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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Selectable Fractional-order Controller for Industrial Control Designs [PDF]
E3S Web of Conferences, 2023 Differential Equation (DE) of fractional-order specifically gives clear view of fractional-order systems. Since genuine processes are typically or most anticipated to be fractional, employing fractional-order’s concept might be results to take us closer ...
Walia Mandeep Singh +2 more
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Generalization of Reset Controllers to Fractional Orders
Mathematics, 2022 Reset control is a simple non-linear control technique that can help overcome the structural limitations of linear control. Fractional control uses the concept of fractional derivatives to expand the range of possibilities when modeling a controller ...
Henrique Paz, Duarte Valério
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Analog Modeling of Fractional-Order Elements: A Classical Circuit Theory Approach
IEEE Access, 2021 In this paper a comprehensive procedure for the analog modeling of Fractional-Order Elements (FOEs) is presented. Unlike most already proposed techniques, a standard approach from classical circuit theory is applied.
Neven Mijat +2 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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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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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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