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- W2911397987 abstract "The one-dimensional fractional advection–diffusion equation with Robin-type boundary conditions is studied by using the Laplace and finite sine-cosine Fourier transforms. The mathematical model with memory is developed by employing the generalized Fick’s law with time-fractional Caputo derivative. The influence of the fractional parameter (the non-local effects) on the solute concentration is studied. It is found that solute concentration can be minimized by decreasing the memory parameter. Also, it is found that, at small values of time the ordinary model leads to minimum concentration, while at large values of the time the fractional model is recommended." @default.
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- W2911397987 date "2019-01-01" @default.
- W2911397987 modified "2023-09-27" @default.
- W2911397987 title "Fractional advection–diffusion equation with memory and Robin-type boundary condition" @default.
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- W2911397987 doi "https://doi.org/10.1051/mmnp/2018075" @default.
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