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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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A Fractional Diffusion Model with Resetting
2019We consider a model that serves as a paradigm for a class of search strategies in which the searcher having explored its environment unsuccessfully for a while, returns to its initial position and begins a new search. The model describes the diffusive motion of a particle, performing a random walk with Levy distributed jump lengths, which is ...
Ercília Sousa, Amal K. Das
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Behavior of fractional diffusion at the origin
Physical Review E, 2003The present work discusses the fractional diffusion equation based on the Riemann-Liouville fractional time derivatives. It was shown that the normalization conservation constraint leads to the divergency of diffusive agent concentration at the origin. This divergency implies an external source of the diffusive agent at r-->0.
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Reprint of: Boundary conditions for fractional diffusion
Journal of Computational and Applied Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boris Baeumer +3 more
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Fractional diffusion equations and anomalous diffusion
Contemporary Physics, 2018Luiz Roberto Evangelista +1 more
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Modeling hourly solar diffuse fraction on a horizontal surface based on sky conditions clustering
Energy, 2023Ziyang Hao
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Diffuse radiation and cloud fraction relationships in two contrasting Amazonian rainforest sites
Agricultural and Forest Meteorology, 2010Mark New +2 more
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A simple and reliable empirical model with two predictors for estimating 1-minute diffuse fraction
Solar Energy, 2019Eugenia Paulescu, Robert Blaga
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