Geodesic
The Samarskii Problem for the Fractal Diffusion Equation
Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 878-883

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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/
@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},
     year = {2014},
     volume = {95},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a8/}
}
TY  - JOUR
AU  - Z. A. Nakhusheva
TI  - The Samarskii Problem for the Fractal Diffusion Equation
JO  - Matematičeskie zametki
PY  - 2014
SP  - 878
EP  - 883
VL  - 95
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a8/
LA  - ru
ID  - MZM_2014_95_6_a8
ER  - 
%0 Journal Article
%A Z. A. Nakhusheva
%T The Samarskii Problem for the Fractal Diffusion Equation
%J Matematičeskie zametki
%D 2014
%P 878-883
%V 95
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a8/
%G ru
%F MZM_2014_95_6_a8

[1] L. M. Zelenyi, A. V. Milovanov, “Fraktalnaya topologiya i strannaya kinetika: ot teorii perkolyatsii k problemam kosmicheskoi elektrodinamiki”, UFN, 174:8 (2004), 809–852 | DOI

[2] A. M. Nakhushev, Nagruzhennye uravneniya i ikh primenenie, Nauka, M., 2012

[3] V. A. Nakhusheva, Differentsialnye uravneniya matematicheskikh modelei nelokalnykh protsessov, Nauka, M., 2006 | MR | Zbl

[4] A. V. Pskhu, Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, M., 2005 | MR | Zbl

[5] V. A. Steklov, Osnovnye zadachi matematicheskoi fiziki, Nauka, M., 1983 | MR | Zbl

[6] N. I. Ionkin, “Reshenie odnoi kraevoi zadachi teorii teploprovodnosti s neklassicheskim kraevym usloviem”, Differents. uravneniya, 13:2 (1977), 294–304 | MR | Zbl

[7] N. I. Ionkin, E. I. Moiseev, “O zadache teploprovodnosti s dvukhtochechnymi kraevymi usloviyami”, Differents. uravneniya, 15:7 (1979), 1284–1295 | MR | Zbl

[8] A. Yu. Mokin, “Primenenie neklassicheskogo metoda razdeleniya peremennykh k resheniyu nelokalnoi zadachi teploprovodnosti”, Differents. uravneniya, 49:1 (2013), 60–67 | Zbl

[9] Z. A. Nakhusheva, “Kharakteristicheskie i smeshannye zadachi dlya uravnenii vtorogo poryadka giperbolicheskogo tipa”, Differents. uravneniya, 48:10 (2012), 1418–1427 | Zbl

[10] T. D. Dzhuraev, Kraevye zadachi dlya uravnenii smeshannogo i smeshanno-sostavnogo tipov, Fan, Tashkent, 1979 | MR | Zbl