Results 11 to 20 of about 2,952,428 (298)
Similarity Solution for Fractional Diffusion Equation [PDF]
Abstract and Applied Analysis, 2014 Fractional diffusion equation in fractal media is an integropartial differential equation parametrized by fractal Hausdorff dimension and anomalous diffusion exponent.
Jun-Sheng Duan, Ai-Ping Guo, Wen-Zai Yun
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Communications, 2010 The paper discusses the problem of classical and fractional diffusion models. It is known that the classical model fails in heterogeneous structures with locations where particles move at a large speed over a long distance.
Tomas Kisela
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The Riesz?Bessel Fractional Diffusion Equation [PDF]
Applied Mathematics and Optimization, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anh, Vo, McVinish, Ross
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REVISITING THE DERIVATION OF THE FRACTIONAL DIFFUSION EQUATION [PDF]
Fractals, 2002 The fractional diffusion equation is derived from the master equation of continuous time random walks (CTRWs) via a straightforward application of the Gnedenko-Kolmogorov limit theorem. The Cauchy problem for the fractional diffusion equation is solved in various important and general cases.
E. Scalas +3 more
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Lattice Boltzmann Simulation of Spatial Fractional Convection–Diffusion Equation
EntropyThe space fractional advection–diffusion equation is a crucial type of fractional partial differential equation, widely used for its ability to more accurately describe natural phenomena. Due to the complexity of analytical approaches, this paper focuses
Xiaohua Bi, Huimin Wang
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Fractal and Fractional, 2019 In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed.
Ndolane Sene, Aliou Niang Fall
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CTRW pathways to the fractional diffusion equation [PDF]
Chemical Physics, 2002 The foundations of the fractional diffusion equation are investigated based on coupled and decoupled continuous time random walks (CTRW). For this aim we find an exact solution of the decoupled CTRW, in terms of an infinite sum of stable probability densities.
Eli Barkai
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Fractional Advection-Diffusion-Asymmetry Equation [PDF]
Physical Review Letters, 2020 Fractional kinetic equations employ non-integer calculus to model anomalous relaxation and diffusion in many systems. While this approach is well explored, it so far failed to describe an important class of transport in disordered systems. Motivated by work on contaminant spreading in geological formations we propose and investigate a fractional ...
Wanli Wang, Eli Barkai
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Fractional chemotaxis diffusion equations [PDF]
Physical Review E, 2010 We introduce mesoscopic and macroscopic model equations of chemotaxis with anomalous subdiffusion for modelling chemically directed transport of biological organisms in changing chemical environments with diffusion hindered by traps or macro-molecular crowding.
Langlands, T. A. M., Henry, B. I.
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Fractional Diffusion Equations [PDF]
, 2018 The Riemann-Liouville fractional integrals and derivatives. There exist many definitions of fractional derivatives and integrals, which are meaningful for different classes of functions, inspired by various applications etc. See [202] for a general survey and a detailed exposition of many aspects of the fractional calculus.
Samuil D. Eidelman +2 more
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