Results 41 to 50 of about 210,852 (219)
Error estimates for a semidiscrete finite element method for fractional order parabolic equations
, 2012 We consider the initial boundary value problem for the homogeneous time-fractional diffusion equation $\partial^\alpha_t u - \De u =0$ ($0< \alpha < 1$) with initial condition $u(x,0)=v(x)$ and a homogeneous Dirichlet boundary condition in a bounded ...
Jin, Bangti, Lazarov, Raytcho, Zhou, Zhi
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A posteriori error estimates for fully discrete fractional-step ϑ-approximations for parabolic equations [PDF]
, 2015 This is a pre-copyedited, author-produced PDF of an article accepted for publication in IMA Journal of Numerical Analysis following peer review. The version of record A posteriori error estimates for fully discrete fractional-step ϑ-approximations for ...
Akrivis +4 more
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Error Estimates for Approximations of Distributed Order Time Fractional Diffusion with Nonsmooth Data [PDF]
, 2015 In this work, we consider the numerical solution of an initial boundary value problem for the distributed order time fractional diffusion equation. The model arises in the mathematical modeling of ultra-slow diffusion processes observed in some physical ...
Jin, Bangti +3 more
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Oscillators Based on Fractional-Order Memory Elements
Fractal and Fractional, 2022 This paper deals with the new oscillator structures that contain new elements, so-called memory elements, known as memristor, meminductor, and memcapacitor. Such circuits can exhibit oscillations as well as chaotic behavior. New mathematical models of fractional-order elements and whole oscillator circuits are proposed as well.
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Complexity, 2021 This work principally considers the stability issue and the emergence of Hopf bifurcation for a class of fractional-order BAM neural network models concerning time delays.
Nengfa Wang, Changjin Xu, Zixin Liu
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A Finite Element Method for the Fractional Sturm-Liouville Problem [PDF]
, 2013 In this work, we propose an efficient finite element method for solving fractional Sturm-Liouville problems involving either the Caputo or Riemann-Liouville derivative of order $\alpha\in(1,2)$ on the unit interval $(0,1)$.
Jin, Bangti +3 more
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Basic Properties and Stability of Fractional-Order Reset Control Systems
, 2013 Reset control is introduced to overcome limitations of linear control. A reset controller includes a linear controller which resets some of states to zero when their input is zero or certain non-zero values.
HosseinNia, S. Hassan +2 more
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Molecular bases of circadian magnesium rhythms across eukaryotes
FEBS Letters, EarlyView.Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley +1 more source
Numerical solution of the time-fractional Fokker-Planck equation with general forcing
, 2015 We study two schemes for a time-fractional Fokker-Planck equation with space- and time-dependent forcing in one space dimension. The first scheme is continuous in time and is discretized in space using a piecewise-linear Galerkin finite element method ...
Le, Kim Ngan +2 more
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Multidimensional scaling locus of memristor and fractional order elements
Journal of Advanced Research, 2020 This paper combines the synergies of three mathematical and computational generalizations. The concepts of fractional calculus, memristor and information visualization extend the classical ideas of integro-differential calculus, electrical elements and data representation, respectively.
Machado, J. A. Tenreiro +1 more
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