Results 31 to 40 of about 125,128 (279)
Fractional Diffusion Models for the Atmosphere of Mars
Fractal and Fractional, 2017 The dust aerosols floating in the atmosphere of Mars cause an attenuation of the solar radiation traversing the atmosphere that cannot be modeled through the use of classical diffusion processes.
Salvador Jiménez +3 more
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Applied Sciences, 2021 A generalized mathematical model of the radial groundwater flow to or from a well is studied using the time-fractional derivative with Mittag-Lefler kernel.
Nehad Ali Shah +4 more
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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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Non-Linear Langevin and Fractional Fokker-Planck Equations for Anomalous Diffusion by Levy Stable Processes [PDF]
, 2018 The~numerical solutions to a non-linear Fractional Fokker--Planck (FFP) equation are studied estimating the generalized diffusion coefficients. The~aim is to model anomalous diffusion using an FFP description with fractional velocity derivatives and ...
Anderson, Johan +2 more
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Cauchy problem for nonlocal diffusion equations modelling Lévy flights
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In the present paper, we study the time-space fractional diffusion equation involving the Caputo differential operator and the fractional Laplacian. This equation describes the Lévy flight with the Brownian motion component and the drift component. First,
Chung-Sik Sin
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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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On a Fractional Master Equation
International Journal of Differential Equations, 2011 A fractional order time-independent form of the wave equation or diffusion equation in two dimensions is obtained from the standard time-independent form of the wave equation or diffusion equation in two-dimensions by replacing the integer order partial ...
Anitha Thomas
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An approximate group classification of a perturbed subdiffusion equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 A problem of the Lie point approximate symmetry group classification of a perturbed subdiffusion equation with a small parameter is solved. The classification is performed with respect to anomalous diffusion coefficient which is considered as a function ...
Stanislav Yu Lukashchuk
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Unified Fractional Kinetic Equation and a Fractional Diffusion Equation [PDF]
Astrophysics and Space Science, 2004 In earlier papers Saxena et al. (2002, 2003) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term ...
Saxena, R. K. +2 more
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Inverse Problems of Determining Coefficients of the Fractional Partial Differential Equations
, 2019 When considering fractional diffusion equation as model equation in analyzing anomalous diffusion processes, some important parameters in the model, for example, the orders of the fractional derivative or the source term, are often unknown, which ...
Li, Zhiyuan, Yamamoto, Masahiro
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