Geodesic
Numerical-analytical method for solving the modified Сauchy problem for the fractional diffusion equation
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 39 (2022) no. 2, pp. 175-183

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The paper considers a numerical-analytical method for efficient search for an approximate solution of the modified Cauchy problem for a parabolic differential equation with a fractional time derivative in the sense of Riemann-Liouville, which naturally arises in the study of nonlinear features of moisture-salt transfer processes in media with a fractal structure of pore space
Mots-clés : diffusion equation, fractal structure
Keywords: fractional differentiation operator, numerical-analytical method, discrete analog, moisture transfer, algorithm. 
@article{VKAM_2022_39_2_a11,
     author = {L. I. Serbina},
     title = {Numerical-analytical method for solving the modified {{\CYRS}auchy} problem for the fractional diffusion equation},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {175--183},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2022_39_2_a11/}
}
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L. I. Serbina. Numerical-analytical method for solving the modified Сauchy problem for the fractional diffusion equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 39 (2022) no. 2, pp. 175-183. http://geodesic.mathdoc.fr/item/VKAM_2022_39_2_a11/