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Published in 2019 at "Soft Computing"
DOI: 10.1007/s00500-018-3328-1
Abstract: In this paper, a novel robust predictive control strategy is proposed for the synchronization of fractional-order time-delay chaotic systems. A recurrent non-singleton type-2 fuzzy neural network (RNT2FNN) is used for the estimation of the unknown…
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Keywords:
fractional order;
control;
chaotic systems;
synchronization ... See more keywords
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Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0748-0
Abstract: We propose a novel second order in time, fully decoupled and unconditionally stable numerical scheme for solving the Cahn–Hilliard–Darcy system which models two-phase flow in porous medium or in a Hele–Shaw cell. The scheme is…
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Keywords:
order;
second order;
darcy;
order time ... See more keywords
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Published in 2022 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-021-01726-2
Abstract: A distributed order time fractional diffusion equation whose solution has a weak singularity near the initial time $$t = 0$$ t = 0 is considered. The numerical method of the paper uses the well-known L1…
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Keywords:
beta robust;
time;
order time;
distributed order ... See more keywords
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Published in 2021 at "Stochastics and Partial Differential Equations: Analysis and Computations"
DOI: 10.1007/s40072-021-00208-8
Abstract: High order and fractional PDEs have become prominent in theory and in modeling many phenomena. In this paper, we study the realized power variations for the fourth order time fractional stochastic partial integro-differential equations (SPIDEs)…
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Keywords:
time fractional;
order time;
time;
fourth order ... See more keywords
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Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0845-1
Abstract: This paper proposes a new method for solving distributed order time-fractional reaction–diffusion equations (DO-TFRDEs). Extended versions of the shifted Jacobi–Gauss–Lobatto and shifted fractional order Jacobi–Gauss–Radau collocation methods are developed for reducing the DO-TFRDEs to systems…
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Keywords:
order;
time fractional;
distributed order;
fractional reaction ... See more keywords
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Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.09.019
Abstract: Abstract The numerical solution of distributed order time fractional partial differential equations based on the midpoint quadrature rule and linear B-spline interpolation is studied. The proposed discretization algorithm follows the Du Fort–Frankel method. The unconditional…
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Keywords:
fractional partial;
partial differential;
differential equations;
time fractional ... See more keywords
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Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113118
Abstract: Abstract We prove the wellposedness and smoothing properties of the initial–boundary value problem of a variably distributed-order time-fractional diffusion partial differential equation in multiple space dimensions, which models the subdiffusive transport of solutes traveling through…
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Keywords:
fractional diffusion;
distributed order;
order;
time fractional ... See more keywords
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Published in 2018 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2018.08.007
Abstract: Abstract Distributed order operators and differential equations have been applied to model physical phenomena. Then the numerical methods for these problems are required. In this paper, we consider a meshless method for solving a distributed…
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Keywords:
distributed order;
order;
time fractional;
order time ... See more keywords
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Published in 2020 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2020.08.015
Abstract: Abstract This paper introduces the nonlinear variable-order (VO) time fractional 2D Ginzburg-Landau equation by replacing the conventional derivative with the Atangana–Baleanu–Caputo fractional derivative. An efficient moving least squares (MLS) meshfree approximation method is considered to…
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Keywords:
variable order;
fractional ginzburg;
nonlinear variable;
time fractional ... See more keywords
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Published in 2019 at "Journal of Applied Geophysics"
DOI: 10.1016/j.jappgeo.2019.02.019
Abstract: Abstract Full waveform inversion is a highly nonlinear inverse problem . Without an accurate initial model, it is difficult to obtain a global optimal solution because of cycle-skipping. In this paper we combine the Nth-order…
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Keywords:
inversion;
time;
time integral;
full waveform ... See more keywords
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Published in 2020 at "Journal of Advanced Research"
DOI: 10.1016/j.jare.2020.04.013
Abstract: Graphical abstract The wireless power transfer scheme is based on fractional-order time-sharing control for a variety of household appliances in intelligent building. In the scheme, by adding a fractional-order capacitor in the transmitter, the time-sharing…
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Keywords:
wireless power;
fractional order;
order time;
time sharing ... See more keywords