Results 11 to 20 of about 60,664 (263)
Journal of Computational Acoustics, 2001 By fractional diffusive waves we mean the solutions of the so-called time-fractional diffusion-wave equation. This equation is obtained from the classical D'Alembert wave equation by replacing the second-order time derivative with a fractional derivative of order β∈(0,2) and is expected to govern evolution processes intermediate between diffusion and ...
Mainardi, F, Paradisi, Paolo
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Journal of Mathematical Analysis and Applications, 2013 Pearson diffusions are governed by diffusion equations with polynomial coefficients. Fractional Pearson diffusions are governed by the corresponding time-fractional diffusion equation. They are useful for modeling sub-diffusive phenomena, caused by particle sticking and trapping.
Leonenko, Nikolai N. +2 more
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Mathematics, 2021 Fractional-order time and space derivatives are one way to augment the classical diffusion equation so that it accounts for the non-Gaussian processes often observed in heterogeneous materials.
Richard L. Magin, Ervin K. Lenzi
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Fractional reaction-diffusion equation [PDF]
The Journal of Chemical Physics, 2003 A fractional reaction-diffusion equation is derived from a continuous time random walk model when the transport is dispersive. The exit from the encounter distance, which is described by the algebraic waiting time distribution of jump motion, interferes with the reaction at the encounter distance. Therefore, the reaction term has a memory effect.
Seki, Kazuhiko +2 more
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Fractional Diffusion Emulates a Human Mobility Network during a Simulated Disease Outbreak
Frontiers in Ecology and Evolution, 2017 Mobility networks facilitate the growth of populations, the success of invasive species, and the spread of communicable diseases among social animals, including humans.
Kyle B. Gustafson +2 more
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Approximate Solution of Sub diffusion Bio heat Transfer Equation
مجلة بغداد للعلوم, 2023 In this paper, author’s study sub diffusion bio heat transfer model and developed explicit finite difference scheme for time fractional sub diffusion bio heat transfer equation by using caputo fabrizio fractional derivative.
Jagdish Sonawane +2 more
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Analysis of Solar Neutrino Data from Super-Kamiokande I and II
Entropy, 2014 We are going back to the roots of the original solar neutrino problem: the analysis of data from solar neutrino experiments. The application of standard deviation analysis (SDA) and diffusion entropy analysis (DEA) to the Super-Kamiokande I and II data ...
Hans J. Haubold +2 more
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Subordination pathways to fractional diffusion [PDF]
The European Physical Journal Special Topics, 2011 20 pages, 4 ...
R. Gorenflo, MAINARDI, FRANCESCO
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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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Mathematical Modelling and Analysis, 2013 In the present study, numerical solutions of the fractional diffusion and fractional diffusion-wave equations where fractional derivatives are considered in the Caputo sense have been obtained by a Galerkin finite element method using quadratic B-spline ...
Alaattin Esen +3 more
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