Geodesic
Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study initial-boundary value problems for fractional parabolic equations with the Dirichlet-Neumann conditions. We obtain a stable difference schemes for this problem, and obtain theorems on coercive stability estimates for the solution of the first order of accuracy difference scheme. A procedure of modified Gauss elimination method is applied for the solution of the first and second order of accuracy difference schemes of one-dimensional fractional parabolic differential equations.
Classification : 35R11, 35B35, 47B39, 47B48
Keywords: fractional parabolic equations, Dirichlet-Neumann conditions, positive operator, difference schemes, stability 
@article{EJDE_2014__2014__a20,
     author = {Ashyralyev, Allaberen and Emirov, Nazar and Cakir, Zafer},
     title = {Well-posedness of fractional parabolic differential and difference equations with {Dirichlet-Neumann} conditions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a20/}
}
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Ashyralyev, Allaberen; Emirov, Nazar; Cakir, Zafer. Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a20/