The Samarskii Problem for the Fractal Diffusion Equation
Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 878-883
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We prove the existence and uniqueness of the solution of the Samarskii problem in a modified setting for a loaded differential fractal diffusion equation and propose a constructive scheme for the equivalent reduction of this nonlocal boundary-value problem to the corresponding local problem.
Mots-clés :
fractal diffusion equation
Keywords: Samarskii problem for the diffusion equation, Riemann–Liouville differential operator, Euler gamma function.
Keywords: Samarskii problem for the diffusion equation, Riemann–Liouville differential operator, Euler gamma function.
@article{MZM_2014_95_6_a8,
author = {Z. A. Nakhusheva},
title = {The {Samarskii} {Problem} for the {Fractal} {Diffusion} {Equation}},
journal = {Matemati\v{c}eskie zametki},
pages = {878--883},
publisher = {mathdoc},
volume = {95},
number = {6},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a8/}
}
Z. A. Nakhusheva. The Samarskii Problem for the Fractal Diffusion Equation. Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 878-883. http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a8/