Results 21 to 30 of about 22,214 (260)
Results in Applied Mathematics, 2022 In this article, we construct an efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation.
Jiarui Wang, Yang Liu, Cao Wen, Hong Li
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Journal of Advanced Research, 2020 The work proposes a synthesis method of capacitive fractional-order impedance element which is composed of homogenous distributed resistive-capacitive (RC) structures (lines).
Pyotr Arkhipovich Ushakov +5 more
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Human Hypertension Blood Flow Model Using Fractional Calculus
Frontiers in Physiology, 2022 The blood flow dynamics in human arteries with hypertension disease is modeled using fractional calculus. The mathematical model is constructed using five-element lumped parameter arterial Windkessel representation.
Mohamed A. Bahloul +4 more
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Adjustable Multiphase Sinusoidal Oscillator with Fractional–Order Elements [PDF]
2019 11th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2019 This paper presents a fractional–order multiphase oscillator with adjustable FO (Frequency of Oscillation). The oscillator utilizes the following components: CCTA (Current Conveyor Transconductance Amplifier), OTA (Operational Transconductance Amplifier), auxiliary OTRA (Operational Transresistance Amplifier), two FOC (Fractional–Order Capacitors) and ...
Jan Dvorak +4 more
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The Microcontroller Implementation of the Basic Fractional-Order Element [PDF]
Pomiary Automatyka Robotyka, 2020 The paper presents the implementation of the basic fractional order element sγ on the STM32 microcontroller platform. The implementation employs the typical CFE and FOBD approximations, the accuracy of approximation as well as duration of calculations are experimentally tested.
Krzysztof Oprzędkiewicz +2 more
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Extended Darlington Synthesis of Fractional Order Immittance Function With Two Element Orders
IEEE Access, 2019 Actual circuits have fractional order characteristics essentially. With the widespread application of fractional order circuits and the great strides in the manufacturing of fractional order elements in recent years, passive synthesis of fractional order
Guishu Liang, Zheng Qi
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Vibration Equation of Fractional Order Describing Viscoelasticity and Viscous Inertia
Open Physics, 2019 The steady state response of a fractional order vibration system subject to harmonic excitation was studied by using the fractional derivative operator −∞Dtβ,${}_{-\infty} D_t^\beta,$where the order β is a real number satisfying 0 ≤ β ≤ 2.
Duan Jun-Sheng, Xu Yun-Yun
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Fracmemristor: Fractional-Order Memristor
IEEE Access, 2016 This paper mainly discusses an interesting conceptual framework: the fractional-order memristor (fracmemristor). It is a challenging theoretical problem to determine what the fracmemristor interpolating characteristics between the memristor and the ...
Yi-Fei Pu, Xiao Yuan
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Advances in Difference Equations, 2018 In this paper, we consider a time-dependent diffusion problem with two-sided Riemann-Liouville fractional derivatives. By introducing a fractional-order flux as auxiliary variable, we establish the saddle-point variational formulation, based on which we ...
Qiong Yuan, Huanzhen Chen
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Fracmemristor chaotic oscillator with multistable and antimonotonicity properties
Journal of Advanced Research, 2020 Memristor is a non-linear circuit element in which voltage-current relationship is determined by the previous values of the voltage and current, generally the history of the circuit.
Haikong Lu +5 more
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