Results 241 to 250 of about 74,438 (274)

The Euler–Lagrange and Legendre equations for functionals involving distributed–order fractional derivatives

Applied Mathematics and Computation, 2018
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Ricardo Almeida, M. Luísa Morgado
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Wave simulation in dissipative media described by distributed-order fractional time derivatives

Journal of Vibration and Control, 2010
We develop and solve a dissipative model for the propagation and attenuation of two-dimensional dilatational waves, using a new modeling algorithm based on distributed-order fractional time derivatives. We consider two distributions. The first has n powers of the order of differentiation as the weight function, and the second is based on a generalized
Caputo, Michele, Carcione, José M.
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The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications

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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A distributed-order time fractional derivative model for simulating bimodal sub-diffusion in heterogeneous media

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, Rui Ma, Yong Zhang, Song Wei, Geoffrey R. Tick, Jiaqi Wang, Ziyong Sun, Hongguang Sun, Chunmiao Zheng   +8 more
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Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations

Mathematical Methods in the Applied Sciences, 2021
Mathematical modeling of uncertain fractional integrodifferentials (FIDEs) is an extremely significant topic in electric circuits, signal processing, electromagnetics, and anomalous diffusion systems. Based on the reproducing kernel algorithm (RKA), a touching numerical approach is considering in this study to solve groups of fuzzy fractional ...
Omar Abu Arqub, Jagdev Singh, Mohammed Alhodaly   +2 more
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NEUTRON POINT KINETICS MODEL WITH A DISTRIBUTED-ORDER FRACTIONAL DERIVATIVE

Fractals
In 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, G. FERNÁNDEZ-ANAYA, S. QUEZADA-GARCÍA, L. A. QUEZADA-TÉLLEZ, M. A. POLO-LABARRIOS   +4 more
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Numerical study of distributed-order Bessel fractional derivative with application to Euler–Poisson–Darboux equation

Communications in Nonlinear Science and Numerical Simulation
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Arimi, Hadiseh Jafari, Eslami, Mostafa, Ansari, Alireza   +2 more
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A novel distributed-order time fractional derivative model of laser-induced thermal therapy for deep-lying tumor

Computers & Mathematics with Applications
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Cao, Xiran, Rong, Zhengze, Lin, Ping, Zheng, Liancun, Zhang, Xuelan   +4 more
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Elasticity with Fractional Distributed-Order Derivatives

2021
L L Ferrás, M L Morgado, M Rebelo
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Modeling of Human Skin using Distributed Order Fractional Derivative Model-Frequency Domain

2014
Bioelectro-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, Lazarević, Mihailo, Lazović, Goran, Simić-Krstić, Jovana, Koruga, Đuro   +4 more
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