Results 271 to 280 of about 2,952,428 (298)

The fractional diffusion equation

Journal of Mathematical Physics, 1986
In 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, 2013
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Siu-Long Lei, Hai-Wei Sun
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Fractionally coupled solutions of the diffusion equation

Applied Mathematics and Computation, 2003
The 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, 2015
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Bashir Ahmad 0003, M. S. Alhothuali, Hamed H. Alsulami, Mokhtar Kirane, S. Timoshin   +4 more
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Identifying a diffusion coefficient in a time-fractional diffusion equation

Mathematics and Computers in Simulation, 2018
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T. Wei, Y. S. Li
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Fractional Number Operator and Associated Fractional Diffusion Equations

Mathematical Physics, Analysis and Geometry, 2017
The author studies the fractional number operator as an analog of the finite-dimensional fractional Laplacian and gives a relation with the Ornstein-Uhlenbeck process. Using a semigroup approach, the solution of the Cauchy problem associated to the fractional number operator is presented.
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The space fractional diffusion equation with Feller’s operator

Applied Mathematics and Computation, 2011
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Fractional diffusion equations and anomalous diffusion

Contemporary Physics, 2018
Luiz Roberto Evangelista, Ervin Kaminski Lenzi   +1 more
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Compact Difference Schemes for the Modified Anomalous Fractional Sub-Diffusion Equation and the Fractional Diffusion-Wave Equation

Journal of Computational Physics, 2014
Seakweng Vong, Zhibo Wang
exaly  

Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations

Communications in Computational Physics, 2017
Shidong Jiang, Jiwei Zhang, Zhimin Zhang
exaly