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NEUTRON POINT KINETICS MODEL WITH A DISTRIBUTED-ORDER FRACTIONAL DERIVATIVE
FractalsIn this paper, the solutions of an extended form of the Fractional-order Neutron Point Kinetics (FNPK) equation in terms of Caputo-time derivatives of the same order are investigated. Instead of using a Caputo derivative, a distributed-order fractional derivative in the Caputo sense was employed in the term of the FNPK equation which is multiplied by ...
F. A. GODÍNEZ +4 more
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International Journal of Computer Mathematics, 2021
In this paper, the properties of Chebyshev polynomials and the Gauss–Legendre quadrature rule are employed to construct a new operational matrix of distributed-order fractional derivative.
Marzieh Pourbabaee, Abbas Saadatmandi
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In this paper, the properties of Chebyshev polynomials and the Gauss–Legendre quadrature rule are employed to construct a new operational matrix of distributed-order fractional derivative.
Marzieh Pourbabaee, Abbas Saadatmandi
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Journal of Hydrology, 2020
Abstract Bimodal transport due to dual-mobile advection or mass exchange between mobile and immobile zones has been widely observed for pollutants moving in heterogeneous media. Existing nonlocal transport models, however, cannot capture either heterogeneity in mobile domains or bi-peak concentration phenomena for breakthrough curves (BTCs) of solute
Maosheng Yin +8 more
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Abstract Bimodal transport due to dual-mobile advection or mass exchange between mobile and immobile zones has been widely observed for pollutants moving in heterogeneous media. Existing nonlocal transport models, however, cannot capture either heterogeneity in mobile domains or bi-peak concentration phenomena for breakthrough curves (BTCs) of solute
Maosheng Yin +8 more
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Journal of Vibration and Control, 2017
Steady-state periodic responses for a vibration system with distributed order derivatives are investigated, where the fractional derivative operator [Formula: see text] is utilized. The response to complex harmonic excitation is derived and the amplitude–frequency and phase–frequency relations are obtained.
Jun-Sheng Duan, Dumitru Baleanu
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Steady-state periodic responses for a vibration system with distributed order derivatives are investigated, where the fractional derivative operator [Formula: see text] is utilized. The response to complex harmonic excitation is derived and the amplitude–frequency and phase–frequency relations are obtained.
Jun-Sheng Duan, Dumitru Baleanu
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International Journal of Numerical Methods for Heat & Fluid Flow, 2019
Purpose The purpose of this study is to investigate viscoelastic properties for the constitutive equation in terms of distributed-order derivatives. Design/methodology/approach The authors considered the steady oscillatory shear flow ...
Jun-Sheng Duan, Lian Chen
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Purpose The purpose of this study is to investigate viscoelastic properties for the constitutive equation in terms of distributed-order derivatives. Design/methodology/approach The authors considered the steady oscillatory shear flow ...
Jun-Sheng Duan, Lian Chen
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Communications in Nonlinear Science and Numerical Simulation
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Arimi, Hadiseh Jafari +2 more
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Arimi, Hadiseh Jafari +2 more
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Elasticity with Fractional Distributed-Order Derivatives
2021L L Ferrás, M L Morgado, M Rebelo
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Modeling of Human Skin using Distributed Order Fractional Derivative Model-Frequency Domain
2014Bioelectro-mechanical properties of the skin can be very valid data for analyzing fractal characteristics of skin structure. In this paper, bioelectrical impedance method and fractional calculus have been utilized for characterization of the human skin.
Vosika, Zoran +4 more
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Computers & Mathematics with Applications
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Cao, Xiran +4 more
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Cao, Xiran +4 more
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