Results 31 to 40 of about 10,025,076 (325)
Numerical Investigation of Fractional-Order Swift-Hohenberg Equations via a Novel Transform
Symmetry, 2021 In this paper, the Elzaki transform decomposition method is implemented to solve the time-fractional Swift–Hohenberg equations. The presented model is related to the temperature and thermal convection of fluid dynamics, which can also be used to explain ...
K. Nonlaopon +5 more
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Fractional Newton-Raphson Method Accelerated with Aitken's Method
, 2021 In the following document, we present a way to obtain the order of convergence of the Fractional Newton-Raphson (F N-R) method, which seems to have an order of convergence at least linearly for the case in which the order $\alpha$ of the derivative is ...
Torres-Hernandez, A. +3 more
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Fractional‐order backstepping strategy for fractional‐order model of COVID‐19 outbreak [PDF]
Mathematical Methods in the Applied Sciences, 2021 The coronavirus disease (COVID‐19) pandemic has impacted many nations around the world. Recently, new variant of this virus has been identified that have a much higher rate of transmission. Although vaccine production and distribution are currently underway, non‐pharmacological interventions are still being implemented as an important and fundamental ...
Amir Veisi, Hadi Delavari
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Fractal and Fractional, 2022 In this paper, we analyzed and found the solution for a suitable nonlinear fractional dynamical system that describes coronavirus (2019-nCoV) using a novel computational method. A compartmental model with four compartments, namely, susceptible, infected,
Wei Gao +4 more
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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 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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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 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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Advances in Differential Equations, 2021 COVID-19 or coronavirus is a newly emerged infectious disease that started in Wuhan, China, in December 2019 and spread worldwide very quickly. Although the recovery rate is greater than the death rate, the COVID-19 infection is becoming very harmful for
M. A. Aba Oud +5 more
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