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On a Fractional Diffusion Equation with Moving Control
SIAM Journal on Control and Optimization, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sorin Micu, Constantin Nita
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On a fractional reaction–diffusion equation
Zeitschrift für angewandte Mathematik und Physik, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Andrade, Bruno, Viana, Arlúcio
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Fractional diffusion and fractional heat equation
Advances in Applied Probability, 2000This paper introduces a fractional heat equation, where the diffusion operator is the composition of the Bessel and Riesz potentials. Sharp bounds are obtained for the variance of the spatial and temporal increments of the solution. These bounds establish the degree of singularity of the sample paths of the solution.
Angulo, J. M. +3 more
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Identify the fractional order and diffusion coefficient in a fractional diffusion wave equation
Journal of Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiongbin Yan, Yuan-Xiang Zhang, Ting Wei
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Multigrid method for fractional diffusion equations
Journal of Computational Physics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong-Kui Pang, Hai-Wei Sun
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Apriori estimates for fractional diffusion equation
Optimization Letters, 2018We derive 2([0, ) ; /2 (ℝ )), ∈[1, 2), apriori estimate for solutions to the fractional or anomalous diffusion equation using a generalization of the Leibnitz rule for the fractional Laplacean. The equation models a wide range of physical phenomena and, in particular, it is a linearized variant of the fractional porous media equation.
Burazin, Krešimir, Mitrović, Darko
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The fractional diffusion equation
Journal of Mathematical Physics, 1986In one space—and in one time—dimension a diffusion equation is solved, where the first time derivative is replaced by the λ-fractional time derivative, 0<λ≤1. The solution is given in closed form in terms of Fox functions.
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A circulant preconditioner for fractional diffusion equations
Journal of Computational Physics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siu-Long Lei, Hai-Wei Sun
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Fractionally coupled solutions of the diffusion equation
Applied Mathematics and Computation, 2003The solution on the diffusion equation \(\partial_t u(x,t)= \partial^2_x u(x,t)\) subject to the constraint \((A\,\partial^\alpha_t+ B\,\partial^\beta_x)u(x, t)= 0\), \(\alpha,\beta\in \mathbb{R}^+\) and \(\partial^\alpha_t\), \(\partial^\beta_x\) are fractional derivatives is discussed here.
Luis Vázquez, Rui Vilela Mendes
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On a time fractional reaction diffusion equation
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bashir Ahmad 0003 +4 more
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