Geodesic
A priori estimates for solutions of boundary value problems for convection-diffusion fractional-order equation
News of the Kabardin-Balkar scientific center of RAS, no. 6-1 (2017), pp. 60-66

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In this paper by the method of energy inequalities a priori estimates for the solution of the Dirichlet and Robin boundary value problems for the convection-diffusion equation of fractional order are obtained. From this follows the uniqueness and continuous dependence of the solution of the problems posed on the initial data.
Keywords: Caputo fractional derivative, Riemann-Liouville fractional integral, boundary value problems, a priori estimate.
Mots-clés : fractional convection-diffusion equation 
@article{IZKAB_2017_6-1_a9,
     author = {E. M. Shogenova},
     title = {A priori estimates for solutions of boundary value problems for convection-diffusion fractional-order equation},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {60--66},
     publisher = {mathdoc},
     number = {6-1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2017_6-1_a9/}
}
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E. M. Shogenova. A priori estimates for solutions of boundary value problems for convection-diffusion fractional-order equation. News of the Kabardin-Balkar scientific center of RAS, no. 6-1 (2017), pp. 60-66. http://geodesic.mathdoc.fr/item/IZKAB_2017_6-1_a9/